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The phrase "are wrong to assume" is correct and usable in written English.
It can be used when indicating that someone's assumptions or beliefs are incorrect.
Example: "Many people are wrong to assume that success comes without hard work."
Alternatives: "are mistaken to think" or "are incorrect in believing".
Exact(6)
You are wrong to assume that job failure will be crushing.
Just as Malthusians were wrong to assume that the productivity of crop-land was fixed, so pessimists are wrong to assume that a unit of spectrum can support only so many subscribers.
If that is correct, then Platonists are wrong to assume univocity in this case, since goodness exhibits complexity ignored by their assumption.
... Israelis, both left and right, are wrong to assume that Hamas is a dictatorship fighting Israel against its people's will.
Philosophers of education have spilled much ink on the subject, but they are wrong to assume that there is an objective purpose of education.
Or at least one part of it.... Israelis, both left and right, are wrong to assume that Hamas is a dictatorship fighting Israel against its people's will.
Similar(54)
And it would be wrong to assume he was letting the old man win a few.
It would be wrong to assume there is only one McIlroy with an association to Holywood Golf Club.
You would be wrong to assume either was the right answer.
But it would be wrong to assume that bundling is inevitably bad in those circumstances.
But it would be wrong to assume that Barbour and Lott were acting out of pure nonpartisan motives.
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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