There's no difference in meaning (except in unusual / contrived contexts), but [the simpler verb form is ***much*** more common](https://books.google.com/ngrams/graph?content=has+lived+there+since%2Chas+been+living+there+since&year_start=1800&year_end=2008&corpus=15&smoothing=3&share=&direct_url=t1%3B%2Chas%20lived%20there%20since%3B%2Cc0%3B.t1%3B%2Chas%20been%20living%20there%20since%3B%2Cc0).
– FumbleFingersJun 06 '20 at 14:13
@ FumbleFingers Reinstate Monica Can you explain why the simpler form is more common?
– anoukJun 06 '20 at 17:16