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Discover LudwigThe phrase "are mistaken" is correct and usable in written English.
It can be used when indicating that someone has made an error in understanding or belief.
Example: "If you think that the meeting is at 3 PM, you are mistaken; it starts at 2 PM."
Alternatives: "are wrong" or "have misunderstood".
Dictionary
Exact(57)
But Plaintiffs are mistaken.
You are mistaken.
These people are mistaken.
They are mistaken.
At present, they are mistaken.
I believe they are mistaken.
Yet, they are mistaken.
If so, they are mistaken.
In this, they are mistaken.
"Say that you are mistaken".
The numbers suggest Canadians are mistaken.
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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