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The phrase "Has been established" is correct and usable in written English.
It can be used to indicate that something has been set up or confirmed in the past and continues to be recognized or valid. Example: "The protocol has been established to ensure safety during the experiment."
Exact(59)
This has been established.
No connection to Kassar has been established.
An extensive Altai reserve has been established.
A timetable has been established.
A league has been established.
But no judging mechanism has been established.
"But the principle has been established".
No link to the Lucom case has been established.
Central Lancashire's scheme has been established since 2004.
A link between football and CTE has been established.
A tribute site has been established with the Alzheimer's Association.
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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