Complex sentence: Persons born in these territories on or after December 24,1952 acquire U.S. citizenship at birth on the same terms as persons born in other parts of the United States; and "Outlying possessions of the United States" was restricted to American Samoa and Swains Island.
Split into simpler sentences: Persons born in these territories on or after December 24,1952 acquire U.S. citizenship at birth on the same terms as persons born in other parts of the United States. The term "Outlying possessions of the United States" was restricted to American Samoa and Swains Island.