The phrase "while nevertheless" is correct and usable in written English.
You can use this phrase to introduce a contrasting idea that supports an existing point or argument. For example, "While nevertheless the evidence is compelling, there is still more research to be done in this area."
Those Gay Paree types got repetitive after a while; nevertheless, it was wonderful to see how Wheeldon orchestrated their comings and goings, in a way that was both readable and exciting.
Since then, the row has gradually subsided, with a loose consensus forming in support of Gabler's "synoptic" text, while nevertheless acknowledging that it, too, contains some rank inconsistencies.
Today, he feels the same, while nevertheless praising Mikhail Baryshnikov for working hard as a guest in "Aureole," a Taylor classic.
The Justices granted Bakke admission and generally outlawed racial quotas, while nevertheless giving admissions committees the right, in certain circumstances, to consider an applicant's race.
While investing large sums in the mining sector, the government neglected agriculture while nevertheless having to spend increasing sums on subsidized food for the urban poor.
My children have developed a very different perspective about America (largely the good things it has to offer), while nevertheless being forced to confront many of their ingrained beliefs.
The details of her childhood are often deployed in works whose experimentalism, while bracing, nevertheless feels like an aspect of the world in which she grew up.
At home, official historians continue to treat him well enough, acknowledging that he made serious errors while insisting nevertheless that the good far outweighed the bad.
The Reagans' decision to not go public, while understandable, nevertheless deprived Americans of the opportunity to learn how the family confronted questions crucially relevant to Alzheimer's patients and their families.
Alcoa perversely continued to deny harm while it nevertheless commenced major technical improvements at the refinery.
It shows you a memorable side of military engagement that, while fictionalized, nevertheless feels a thousand percent more lifelike than Gears' campaign against the Locust.
