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Discover LudwigThe phrase "are defined not" is grammatically correct and can be used in written English.
It is typically used in formal or academic contexts to indicate that something is not defined in a certain way or by a certain criterion.
Example: "In this study, the terms are defined not by their common usage but by their specific application in the context of the research."
Alternatives: "are not defined by" or "are defined in a different way".
Exact(39)
Heroines are defined not by their wounds but by their triumphs.
At one point, partners are exchanged and distinct relationships are defined, not only among the different couples but also in duets danced by the same pair.
The truth is, all-time greats like Federer are defined not only by their gifts but by their arrogance.
In Xi'an, they are defined not by their length but by the noise they make – "bang, bang!" – when they are made.
That is, bad bosses are defined not so much by any appalling things they do as by certain critical things they don't do.
People are defined not by their name on a passport but by their digital identity, reinforced by their day-to-day activity, which leaves a digital trace.
Similar(21)
That Europe is defined not by religion, but by values".
The distinction is defined not by age but by attitude.
It was defined not by Iraq but by September 11th.
When Attitudes Become Form was defined not so much by a group ethos as a mentality.
"We're defined not by our blemishes," he said, "but by 30 years of work".
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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