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The phrase "already well established" is correct and usable in written English.
It can be used to describe something that has been firmly set or recognized for some time.
Example: "The theory of evolution is already well established in the scientific community."
Alternatives: "firmly established" or "long established".
Exact(43)
Most of them are already well established.
Auguste Rodin, already well established, was among his gushier fans.
She became mentor to five young women already well established in their careers.
Supporters' clubs were already well established at the Stadio Ennio Tardini before the BOYS were formed.
He was already well established in the worlds of motor-control and stroke research.
Munnings was doing well in England, his reputation already well established.
Similar(17)
That was already well-established, after all.
But quantum theory was an already well-established, empirically verified structure.
Glasgow's importance as a centre for artists, already well-established, seems, if anything, to be waxing.
Manufacturing technologies are already well-established and the application of plastics is proven.
There are already well-established methods for eye detection using still images registered by a camera.
More suggestions(15)
previously well established
still well established
currently well established
really well established
because well established
quite well established
just well established
also well established
already better established
recently well established
already well covered
already well estimated
already well known
already well supervised
already well entrenched
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com