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"operate in" is correct and usable in written English.
You can use it in the context of a business, organization, or industry, usually when talking about it performing some kind of activity, such as providing services or selling products. For example: "The company operates in over 50 countries around the world."
Exact(60)
Eastbound trips operate in reverse.
Many Chadian journalists operate in exile.
Genes do not, however, operate in isolation.
Its practitioners have to operate in secrecy.
But the networks operate in similar ways.
Lobbyists operate in the shadows – deliberately.
We operate in more than 50 countries.
Mostly American soldiers operate in eastern Afghanistan.
Most joysticks operate in a similar manner.
Others operate in more esoteric settings.
Some 250 foreign banks operate in Britain.
Write better and faster with AI suggestions while staying true to your unique style.
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