Complex sentence: The company began looking to expand their business both in and outside of the United States, and purchased a pest control company in Mexico and began partnering with Sears, Roebuck and Company to offer pest control services under the Sears Termite and Pest Control name.
Split into simpler sentences: The company began looking to expand its business both inside and outside of the United States and purchased a pest control company in Mexico. Terminex partnered with Sears, Roebuck and Company to offer pest control services under the Sears Termite and Pest Control name.