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The phrase 'has been long established' is grammatically correct and usable in written English.
It can be used to talk about something that has been known or accepted for a long time. For example, "The tradition of afternoon tea in the United Kingdom has been long established."
Exact(45)
"This has been long established".
It has been long established that even most active fund managers fail to beat the overall market on a regular basis.
The philosophy behind open data has been long established, but the term itself is relatively new and it is gaining popularity.
Geographer Jeremy Crampton suggests that not doing so could lead to dire consequences: "It has been long established that the sky is public – otherwise each airplane would have to get permission to fly over your property.
Where the church has been long established, the task of the congregation is to strengthen the faith, especially by preaching parish missions and retreats, teaching, and directing shrines dedicated to Mary.
From the start, Pistorius's account is a perverse deviation from the overwhelming pattern of evidence that has been long established in such crimes, which is that the reasons lie in the nature of the relationship, specifically in the hostile attitudes of the killer to the killed.
Similar(15)
Those principles, the court noted in Schempp, "have been long established, recognized and consistently reaffirmed".
Small minorities of Germans and Poles, on the other hand, have been long established and are substantially assimilated.
The French system, under which the consular service had been long established as part of the general civil service, was gradually adopted by other nations.
"We have seen firms that have been long established in their localities declined an award, we've seen notifications of firms being granted awards which they hadn't even applied for.
These have been long established by comparative physiologists, yet have never been taught in any medical school.
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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