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The phrase "are settled in" is correct and usable in written English.
It can be used to describe someone who has established themselves in a new place or situation, indicating a sense of comfort or familiarity.
Example: "After moving to the new city, it took a few months, but now we are settled in and feel at home."
Alternatives: "have made ourselves at home" or "are comfortable in".
Dictionary
Exact(59)
Many groups are settled in permanent villages.
These investments are settled in dollars.
Major issues are settled in Cabinet discussions, the records of which are not available.
But as old scores are settled in Egypt, new ones are being opened.
Upon graduation, they are settled in apartments nearby where they can support themselves.
Her sons are settled in school and taking GCSEs next summer.
Today the Dyula are settled in towns and villages in Côte d'Ivoire, Burkina Faso, and parts of Mali and Ghana.
America's relations with the UN are settled in a brisk seven pages; those with Russia in fewer than three.
"In the United States, most intellectual property claims never reach court and are settled in advance," Mr. Chrocziel said.
"Elections are settled in the suburbs nowadays, 43percentt of the vote," said George Will in condemning Mr. Lott.
Some children have been born in the UK and are settled in a school here when they are detained.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com