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The correct answer is that they tend to talk like locals.
Penelope Eckert is an American linguistics scientist and professor. Her work focuses on the relation between gender and language and sociolinguistics. One part of her work focused on the use of language within communities. She concluded that language use is a critical criterion for membership in a community. Similarity in accents and several language variables is a constantly observed within communities.

When this happens, people tend to adopt a speech pattern with less accent. This is because, according to Penelope Eckert's research, many people do not want to be identified as belonging to another place. On the contrary, they want to fit in with the new place. In spite of wanting to feel still part of the community of origin.

This caused many people in the state of California to speak without a particular accent.