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The phrase "and nevertheless are" is correct and usable in written English.
It can be used to emphasize a contrast or contradiction in a statement, often to highlight that despite certain conditions, the subject still exists or remains true.
Example: "The results were unexpected, and nevertheless are significant for our research."
Alternatives: "and yet are" or "but still are".
Exact(3)
Seventy-five percent of American "gamers" -- people who play video games -- are older than 18 and nevertheless are allowed to vote.
Binding of these small molecules to the human nuclear receptor PPARγ is described by models that are built on simple 2D molecular descriptors and nevertheless are of good quality and predictive power (e.g., 144 compounds, 10 descriptors, r2 = 0.79, rcv2= 0.76).
Cancer pain patients who accept that pain will persist and nevertheless are able to engage in a meaningful life were less susceptible to catastrophizing and depression in one study.
Similar(57)
As should be clear from examples like Rhode Island and Alaska, a state can have a strong partisan lean and nevertheless be elastic, or vice versa.
Many also say that the banks were predatory, or at least indiscriminate, in making loans, and nevertheless were bailed out by the federal government.
This explains why a non-essential gene may seem to perform a proper function and, nevertheless, be nearly neutral.
Structures and parameters, nevertheless, are mostly determined by experiential knowledge with strong subjectivity and little data.
Benh Zeitlin's ambition and verve, nevertheless, are really exhilarating.
The evidence of their impact is mixed, but consumers and lawmakers nevertheless are furious, saying these new financial traders are driving up prices.
These measurements are difficult and expensive but, nevertheless, are indispensable in identifying the relative influence of multiple potential drivers of the PVHI effect found here.
These sources are limited in scope and subject matter but nevertheless are valuable documents.
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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