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"given the fact" is correct and usable in written English.
You can use it when you want to introduce a fact or information that you believe is already known or accepted. For example: "Given the fact that she has already failed the test twice, it might be time for her to seek out extra help."
Exact(60)
"Given the fact that John Hancock was visibly critical, it sent a signal," Romney said.
"Given the fact that he's called for me to resign, I would not".
"Given the fact that I didn't get it, this is the next best thing".
Given the fact that we will no longer be husband and wife, this is a complication.
Given the fact that Iran appreciates U.S. power, how can one account for its nuclear truculence?
Given the fact that nothing has really changed for 50 years, the list is long.
Given the fact that I have the leftish inclinations of most academics, I ought to dislike this book intensely.
Given the fact that they came so close before to a settlement, chances are good that the case will settle".
Given the fact of an open investigation, I'm not going to dwell on Mr. Snowden's actions or motivations.
Given the fact that the BBC is committed to investing in digital, it cannot promise not to cut further services.
Given the fact that this industry is out there, and it's a risky business.
Related(20)
Given the effect
investigated the fact
Given the satisfaction
involved the fact
Given the instance
delivered the fact
Given the appreciation
Given the virtue
Given the circumstance
Given the question
Given the statement
Given the essence
Given the documentation
Given the facts
hand the fact
left the fact
certain the fact
derived the fact
available the fact
received the fact
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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