The phrase "are generally asserted to" is correct and usable in written English.
It can be used when discussing claims or beliefs that are commonly held or stated by people or sources.
Example: "The theories about climate change are generally asserted to be based on extensive scientific research."
Alternatives: "are commonly believed to" or "are widely claimed to".
It is generally asserted that the Privilege has to be invoked by the President (it is, after all, the Executive that is claiming the protection) and that its scope may be limited to actual meetings/conversations/memos to the President himself, although there is language in the few Court cases speaking more generally about "high government officials".
The Lincolnians, it was generally asserted, were fighting only for the preservation of the union, not for the high-sounding cause of emancipation.
Every subculture has its particular ethos, and it is generally asserted among dog owners that a female in heat should be isolated from other dogs.
Religion carries out a similar process, although one in which agreement is generally asserted by authority rather than by a consensus of objective, unbiased observations.
It has been generally asserted that the RD gene family has derived from serial duplication of a single ancestral gene [ 6].
As a general matter, conservatives — though none that we know would assert the Constitution is perfect — are generally loath to tamper with fundamental law.
It is generally foolish to assert anything about what comes after death.
Despite various challenges, Scotland is generally regarded to have asserted its independence from about 843, until the official unification with England took place in 1707.
The purpose of this paper is not to assert that either local or nonlocal genotypes are generally superior, but rather to simply suggest that circumstances exist under which the use of nonlocal genotypes may be a viable restoration option.
