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The phrase "a certain fact" is correct and usable in written English.
It can be used when referring to a specific fact that is known or acknowledged but not explicitly stated.
Example: "There is a certain fact that everyone seems to overlook in this discussion."
Alternatives: "a specific fact" or "a particular fact".
Exact(14)
Sometimes a certain fact is crucial; sometimes it is irrelevant.
Put 10 national security officials in a room to discuss declassifying a certain fact.
So he cannot report it as a certain fact in the present tense.
When we say we are sure about a certain fact, for example, we may well be right only half the time.
Writer visited Landon in Vienna and took a trip with him to Eisenstadt where, at the Haydn Museum, he checked a certain fact in a Haydn manuscript.
Use a pointer to call attention to a certain fact or figure, but then make sure to face the audience when you're making your point.
Similar(45)
Its publication at this time gains a certain interest from the certain fact that it coincided with the celebration of Mr. Edison's invention of the incandescent bulb.
Yet the story goes a step further, indicting even women's dumb helpless baby love itself — a love that helps perpetuate not just the patriarchy but (even in an allegory, certain facts should be faced) the human race.
Recognition is a process whereby certain facts are accepted and endowed with a certain legal status, such as statehood, sovereignty over newly acquired territory, or the international effects of the grant of nationality.
Virtue is "the act by which one gains/and or keeps" values in light of a recognition of certain facts (1961b, pp. 27, 28); it "is not an end in itself … not its own reward" (1957, p. 939).
Mazzoni's working hypothesis is that in these people, episodic memories – that is, contextual memories of autobiographical events – become, to a certain extent, facts.
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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