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The phrase "asserted by some" is correct and usable in written English.
It can be used when referring to a claim or opinion that is held by certain individuals or groups, often implying that it may not be universally accepted.
Example: "The theory of climate change being a hoax is asserted by some, despite overwhelming scientific evidence to the contrary."
Alternatives: "claimed by some" or "maintained by certain individuals".
Exact(4)
"It's asserted by some that the debt explosion is a function of the public authorities and the Legislature has no control," he said, draining his Diet Coke.
To make monitoring more efficient, the reliability of data sources may be asserted by some groups and challenged by others [53].
His nephew Robert Louis described it as "the noblest of all extant deep-sea lights" and according to the Northern Lighthouse Board it is "asserted by some that Skerryvore is the world's most graceful lighthouse".
The frequencies of factor V Leiden and prothrombin gene mutations were similar to those in the controls, contrary to what has been asserted by some authors who have hypothesized that idiopathic ON might be favored by factor V Leiden or prothrombin gene mutation (Björkman et al. 2004).
Similar(55)
When you have no raison d'etre except the profit motive, the delusion that you are doing something noble can often be asserted by upholding, to great fanfare, some trivial principle that no one in his right mind could possibly care about.
Applying Eq. (3.10) to Eqs. (2.7), (2.8) and (2.27), we get some interesting identities asserted by the following corollary.
Some 62% of patents asserted by trolls from 1990-2010 were software patents; 75% were in computer and communications technology.
Theorem 6.2 The following formula holds true: Proof By differentiating both sides of Eq. (39) with respect to the variable t, after some elementary calculations, we get the formula asserted by Theorem 6.2.
The proof of our main result asserted by Theorem 2 of the preceding section has made use of some familiar fixed point theorems.
The claims asserted by Infigen, therefore, could not be patented.
And indeed, this principle, as asserted by Mr. Wolfram, leads to a startling conclusion.
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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