Under close scrutiny or examination.
The phrase "under the microscope" is correct and usable in written English. It is often used as an idiom to refer to a situation that is being closely scrutinized or inspected. For example, you could say, “The company’s finances have been put under the microscope since the scandal was uncovered.”.
You're under the microscope.
DEMOCRACY is under the microscope.
Everything is under the microscope.
You're under the microscope constantly.
"But that's really under the microscope.
To stay under the microscope: The I.M.F.
You can see it under the microscope.
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MA of Applied Linguistic, Maquarie University, Australia