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"have long understood" is correct and usable in written English.
You can use it to talk about something that you have known for a long time. For example, "I have long understood the importance of being financially independent."
Exact(57)
Most agricultural scientists have long understood this.
This is something that feminists have long understood.
MILITARY strategists have long understood that if brute force fails, try deception.
Librarians have long understood this, which is why they keep readers' files confidential.
They have long understood the potential perils of travelling to America.
Film executives around the world have long understood the authority invested in the China Film Group.
Modern Greek poets have long understood what the pundits are failing to grasp.
Lobbyists and savvy Congressional aides have long understood the power of the victim.
They say they have long understood that Don Tyson was calling the shots.
Beleaguered people have long understood the significant political role that humour can play.
What they have long understood is that popular culture is, well, popular.
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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