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"factual case" is a correctly written phrase that can be used in English.
It is typically used to refer to a case in a court of law that involves facts rather than judgement. For example, "The plaintiff presented a strong factual case, but the jury determined the defendant to be innocent."
Exact(31)
This respondent's factual case is essentially the same as Bannercraft's.
A factual case study regarding George Mitchell's involvement in the 1996-98 Northern Ireland peace negotiations.
But what about the factual case, rather than the political one?
A factual case study regarding former UN Special Envoy Lakhdar Brahimi's involvement in negotiating an interim Afghani government in 2001.
The question, antitrust experts agree, is whether the commission can create a strong factual case for its accusations.
Two factual case studies regarding former U.S. Trade Representative Charlene Barshefsky's negotiations with China regarding intellectual property enforcement.
Similar(29)
[Note: That is, it must be used only in factual cases.] Correct: His work refuted the theory that the Earth was flat.
Factual cases were 128 while the remaining 42 cases were claims known either by presence of fabricated wounds or by victims confession of these false allegations.
If you made the anti-factual case that all the polls were wrong, you were not necessarily inconsistent.
Here's a quick primer on Factual, in case you're not quite up to speed.
"If you can point to a loss in clients or a drop in productivity, you have a factual business case to support why it's imperative that things change".
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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