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The phrase "asserted that approximately" is correct and usable in written English.
You can use it when you want to indicate that someone has claimed or stated something that is not exact but is close to a certain value or amount.
Example: "The researcher asserted that approximately 70% of participants reported feeling satisfied with the service."
Alternatives: "claimed that roughly" or "stated that about".
Exact(1)
He asserted that approximately 10,000 residents of Norway had taken the test.
Similar(59)
Despite the increase, Patel, Neil, a contributor to Forbes magazine, asserts that approximately 90% of the startups today fail and only 10% succeed.
(iii) It can be asserted that is relatively compact. .
Further, in 2011, near the peak of the drone war in Pakistan, Obama's then lead counter-terrorism adviser and now CIA Director, John Brennan, dubiously asserted that for approximately one year "there hasn't been a single collateral death because of the exceptional proficiency, precision of the capabilities we've been able to develop".
The hypothesis asserts that r* xy in any window is approximately equal to a constant.
So when Gill asserts that "M.
We assert that is bounded.
The fact asserts that implies.
Note that (3.29) asserts that is -periodic.
We assert that is strictly contractive on.
Now, we assert that is bounded.
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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