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Discover LudwigThe phrase 'of that matter' is correct and usable in written English.
You can use it to introduce a statement that relates to the same subject you have already been talking about, or a subject that has been previously mentioned. For example: "I don't know the answer to that question; I don't know much about history, of that matter."
Exact(36)
But does any of that matter?
But does any of that matter so long as you are not named Rumsfeld?
"My personal opinion of that matter is well known," said Mr. Guttenberg, who favored insolvency.
Photo-ionization, the interaction of electromagnetic radiation with matter resulting in the dissociation of that matter into electrically charged particles.
Trump gave Falco one week to take care of that matter, or he said "we will close it".
Mark has provided a detailed account of that matter, and I am satisfied that he played no role in the cancellation of the segment.
Similar(22)
None of the things that matter.
None of that ever mattered to me.
All of that hardly matters.
Now and then, Ms. Rice manages a touch of that matter-of-fact wholesome-naughty Mary Louise Parker-ness.
All of that matters.
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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