In this task, you are given two sentences in the English language (Sentence 1 and Sentence 2). Your task is to identify the connecting word between the two sentences.

Sentence 1:The 2002 line - up was headlined by Primordial and ran for a second year in 2003 . Sentence 2:Numbers however dwindled that year and a number of changes were implemented before the festival 's third running in 2004 .
however

Sentence 1:For example , some countries require a parent 's permission to marry even for adults , or forbid marrying someone of the same sex or outside of one 's religion or ethnic group . Sentence 2:Additionally , some couples prefer to have their wedding in the United States .
additionally

Sentence 1:Her ghost began lurking in the washrooms and corridors of the Heika 's palace , haunting mirrors . Sentence 2:Eventually , she managed to take on a physical form and escaped the Homelands with a group of yokai who had been banished from the court .

eventually