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Discover Ludwig"you well know" is correct and usable in written English.
You would use it to remind someone of a fact that they are already aware of. For example, "You well know that the deadline for the project is tomorrow."
Exact(60)
The truth, as you well know, is that the Bush administration discourages us from knowing what's going on in Iraq.
As you well know.
Nothing's perfect, as you well know.
Now, as you well know, single cells generate action potentials.
Back to the Future 1985: As you well know.
As you well know you are hiding behind the internet".
As you well know, I love playing for England.
"As you well know, it's required," he said with a rueful chuckle.
Well, as you well know, your husband's "Maus" helped catapult this whole thing into the stratosphere.
As you well know, sir, finding votes for the debt ceiling can sometimes be complicated.
"The mandate of the chemical weapons team was, as you well know, not to investigate culpability.
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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