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"represents the fact" is a correct and usable phrase in written English.
It is typically used to indicate that something symbolizes or accurately portrays a certain reality or truth. It can be used in a variety of contexts, such as in formal essays, news articles, or speeches. Example: The sculpture of the woman holding a torch represents the fact that freedom and liberty are fundamental values in our society.
Exact(55)
This represents the fact that he was briefly, before he became famous, our driver.
I think the photograph represents the fact that Jeremy gave hope to lots of young people.
It was a deal that represents the fact that he's the best fighter in the world".
"But the fact that she's being excoriated instead of the president only represents the fact that the rest of the American administration is absent".
"I don't like anything he represents – the fact he's been convicted of beating up his ex-girlfriend, the fact he feels the need to carry around an offensive weapon – he's been convicted of that as well.
But it is probably more the case that he represents the fact that editors, at least ambitious ones, really don't want to be editors anymore; it's a dying skill.
Similar(5)
Proposition p represents the facts in G iff ts(p) ⊆ des(G).
First, it circumvents Sneed's problem of theoretical terms since the axioms are not required to be true in the interpretation of the respective language that represents the facts of the theory-independent world.
Barbie always represented the fact that a woman has choices".
The black robes represent the fact that justices are not supposed to act as individuals, he said.
"But I do know it is on the badge to represent the fact that for a very long time Watford were the only league club in Hertfordshire.
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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