Question: Which county shares a border with the county sharing a border with the county where Mount Carmel is located?

full_context: Document 1: Williamsburg Township, Clermont County, Ohio: Williamsburg Township is one of the fourteen townships of Clermont County, Ohio, United States. The 2010 census reported 5,746 people living in the township, 3,256 of whom lived in the unincorporated portions of the township.
Document 2: Miami Township, Clermont County, Ohio: Miami Township is one of the fourteen townships of Clermont County, Ohio, United States. The population at the 2010 census was 40,848, up from 36,632 in 2000. The township's students are served mostly by Milford Exempted Village Schools.
Document 3: Wayne Township, Clermont County, Ohio: Wayne Township is one of the fourteen townships of Clermont County, Ohio, United States. The 2010 census reported 4,885 people living in the township, 4,493 of whom were in the unincorporated portions of the township.
Document 4: Jackson Township, Clermont County, Ohio: Jackson Township is one of the fourteen townships of Clermont County, Ohio, United States. As of the 2010 census the population was 2,980.
Document 5: Uranium: A person can be exposed to uranium (or its radioactive daughters, such as radon) by inhaling dust in air or by ingesting contaminated water and food. The amount of uranium in air is usually very small; however, people who work in factories that process phosphate fertilizers, live near government facilities that made or tested nuclear weapons, live or work near a modern battlefield where depleted uranium weapons have been used, or live or work near a coal-fired power plant, facilities that mine or process uranium ore, or enrich uranium for reactor fuel, may have increased exposure to uranium. Houses or structures that are over uranium deposits (either natural or man-made slag deposits) may have an increased incidence of exposure to radon gas. The Occupational Safety and Health Administration (OSHA) has set the permissible exposure limit for uranium exposure in the workplace as 0.25 mg/m3 over an 8-hour workday. The National Institute for Occupational Safety and Health (NIOSH) has set a recommended exposure limit (REL) of 0.2 mg/m3 over an 8-hour workday and a short-term limit of 0.6 mg/m3. At levels of 10 mg/m3, uranium is immediately dangerous to life and health.
Document 6: Clermont County Public Library: The Clermont County Public Library is a public library in Clermont County, Ohio, located east of Hamilton County and within the greater Cincinnati area. There are ten library branches in the system: Amelia, Batavia, Bethel, Felicity, Goshen, Milford, New Richmond, Owensville, Union Township, and Williamsburg.
Document 7: Hanford Site: The Hanford Site is a decommissioned nuclear production complex operated by the United States federal government on the Columbia River in Benton County in the U.S. state of Washington. The site has been known by many names, including Hanford Project, Hanford Works, Hanford Engineer Works and Hanford Nuclear Reservation. Established in 1943 as part of the Manhattan Project in Hanford, south-central Washington, the site was home to the B Reactor, the first full-scale plutonium production reactor in the world. Plutonium manufactured at the site was used in the first nuclear bomb, tested at the Trinity site, and in Fat Man, the bomb detonated over Nagasaki, Japan.
Document 8: Washington Township, Clermont County, Ohio: Washington Township is one of the fourteen townships of Clermont County, Ohio, United States. The 2010 census reported 2,278 people living in the township, 1,993 of whom were in the unincorporated portions of the township.
Document 9: Mount Carmel, Pennsylvania: Mount Carmel is a borough in Northumberland County, Pennsylvania, United States. The population was 5,869 at the 2010 census. It is located 88 miles (141 km) northwest of Philadelphia and 71 miles (114 km) northeast of Harrisburg, in the Anthracite Coal Region. It is completely encompassed by Mount Carmel Township.
Document 10: Fernald Feed Materials Production Center: The Fernald Feed Materials Production Center (commonly referred to simply as Fernald or later NLO) is a Superfund site located within Crosby Township in Hamilton County, Ohio, as well as Ross Township in Butler County, Ohio. It was a uranium processing facility located near the rural town of New Baltimore, about 20 miles (32 km) northwest of Cincinnati, which fabricated uranium fuel cores for the U.S. nuclear weapons production complex from 1951 to 1989. During that time, the plant produced 170,000 metric tons uranium (MTU) of metal products and 35,000 MTU of intermediate compounds, such as uranium trioxide and uranium tetrafluoride.
Document 11: Uranium: On 2 December 1942, as part of the Manhattan Project, another team led by Enrico Fermi was able to initiate the first artificial self-sustained nuclear chain reaction, Chicago Pile-1. Working in a lab below the stands of Stagg Field at the University of Chicago, the team created the conditions needed for such a reaction by piling together 400 short tons (360 metric tons) of graphite, 58 short tons (53 metric tons) of uranium oxide, and six short tons (5.5 metric tons) of uranium metal, a majority of which was supplied by Westinghouse Lamp Plant in a makeshift production process.
Document 12: Uranium: In 1972, the French physicist Francis Perrin discovered fifteen ancient and no longer active natural nuclear fission reactors in three separate ore deposits at the Oklo mine in Gabon, West Africa, collectively known as the Oklo Fossil Reactors. The ore deposit is 1.7 billion years old; then, uranium-235 constituted about 3% of the total uranium on Earth. This is high enough to permit a sustained nuclear fission chain reaction to occur, provided other supporting conditions exist. The capacity of the surrounding sediment to contain the nuclear waste products has been cited by the U.S. federal government as supporting evidence for the feasibility to store spent nuclear fuel at the Yucca Mountain nuclear waste repository.
Document 13: Mount Carmel, Ohio: Mount Carmel is a census-designated place (CDP) in Clermont County, Ohio, United States. The population was 4,741 at the 2010 census.
Document 14: Ohio Township, Clermont County, Ohio: Ohio Township is one of the fourteen townships of Clermont County, Ohio, United States. The 2010 census reported 5,192 people living in the township, 2,610 of whom were in the unincorporated portions of the township.
Document 15: Franklin Township, Clermont County, Ohio: Franklin Township is one of the fourteen townships of Clermont County, Ohio, United States. The 2010 census reported 4,188 people living in the township, 3,307 of whom lived in the unincorporated portions of the township.
ground_truth: Butler County
sub_queries: Mount Carmel >> located in the administrative territorial entity Answer: Clermont County
Clermont County >> shares border with Answer: Hamilton County
Hamilton County >> shares border with Answer: Butler County