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"correspond with reality" is a correct and usable phrase in written English.
It means that something is in agreement or harmony with what is actually happening or true. Example: It is important for news reporters to ensure that their stories correspond with reality in order to provide accurate information to the public.
Exact(16)
But Russia's self-image and foreign policy expectations do not correspond with reality.
"When state statistics don't correspond with reality, people lose confidence in government".
But his efforts to play the scorned truth-teller — blackballed for his pointed criticisms of the incestuous intersection of journalism and celebrity — do not always correspond with reality.
The discovery in the 19th century of consistent alternative geometries, however, precipitated a crisis, for it showed that Euclidean geometry, based on seemingly the most intuitively obvious axiomatic assumptions, did not correspond with reality as mathematicians had believed.
But, what happens if code predictions do not correspond with reality?
Due to certain effects, this perception does not always correspond with reality.
Similar(43)
In fact, the idea of pure British blood, as he shows, has never corresponded with reality.
A review of Iraq-related intelligence and how it corresponds with reality, which Mr Rumsfeld has asked the CIA to conduct, must resolve these pressing issues.Still, given all the evidence available, it remains likeliest that Mr Hussein did indeed have some sort of WMD programme, if not the serried ranks of illegal munitions portrayed by Mr Blair and Mr Bush.
The correspondents and producers who came from around the world mainly told the stories they expected to find, whether or not those stories corresponded with reality.
In the reality command trials, the statement made to ZhangHong referred to one of the other seven boxes (e.g., "Please choose which box contains the apple". Figure 1 bottom-right), in which her belief corresponds with reality.
This new terminology of honeybee larval diet proteins corresponds with reality that these proteins are presented not only in royal jelly, but also in worker and drone jellies [ 7].
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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