Why did the falcon and the eagle live in New York City?

Answer 1

If you are referring to the Birds of Prey, many metropolitan communities have reintroduced eagles and falcons, especially peregrine falcons, primarily to help control pigeon, dove, and rodent populations. Many of these programs have been quite successful in helping to move some endangered species off the the Endangered Species List.

If you are referring to some other situation, greater detail may be necessary to provide an answer.