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The phrase "is now established" is correct and usable in written English.
It can be used when there is something that has come to fruition or has been definitively settled. For example, "The new law is now established and is to be enforced throughout the state."
Dictionary
is now established
adverb
At the present time.
Exact(60)
The general pattern of the periodic table is now established.
"The series is now established as a classic with a long-term life," he said.
Nevertheless, poor technique or not, Tomlinson, 20, is now established among the best.
The UK is now established as a nasty country in the world's imagination.
San Lorenzo is now established as the oldest known Olmec centre.
The Front National is now established as a third force in French politics.
The need for a full scale investigation into the death of Ian Tomlinson is now established beyond doubt.
Muse, a famously bombastic trio from Britain, is now established as one of the biggest bands in Europe.
Still, even Dr. Lindzen said that he felt that the human influence on the earth's climate is now established.
It is now established that Bcl11b specifies T cell fate.
The value of skin-to-skin care is now established.
More suggestions(16)
is however established
is better established
is just established
is finally established
is well established
is further established
is still established
is already established
is nowadays established
is therefore established
is recently established
is actually established
is now incorporated
is hereby established
is best established
is meanwhile established
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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