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The phrase "which is established by" is correct and usable in written English.
It can be used to indicate the source or authority that creates or confirms something, often in formal or academic contexts. Example: "The theory, which is established by extensive research, provides a new perspective on climate change."
Exact(32)
Most Ecuadorans place great emphasis on the family, including fictive kinship, which is established by the choice of godparents at baptism.
One instance of these tools is Protégé1 which is established by Stanford University for knowledge acquisition.
Eq. 33 is a viscous resistance model which is established by polynomial form.
Deontology ethics, which is established by Immanuel Kent, is known as non-consequentialist or duty based [17].
These magnetic gels show a quick response to the applied field which is established by transient viscosity response.
The behavior and performance of genetic algorithm is highly inclined by the representation which is established by the previous work (Goldberg 1989; Liepins and Vose 1990).
Similar(24)
The awards, which were established by Gerald Loeb in 1957, were announced on Tuesday.
The awards, which were established by Gerald Loeb in 1957, were announced last night in Manhattan.
Property owners can opt to join the new district, which was established by the council vote.
Duke University, which was established by James Buchanan Duke in 1924, was constructed around Trinity College.
Probably the most successful example is Jesus House, which was established by a large Redeemed church in Lagos.
More suggestions(14)
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which is incorporated by
which is determined by
which is acknowledged by
which is achieved by
which is implemented by
which is formalized by
which is stated by
which is provided by
which is developed by
which is accomplished by
which is exhibited by
which is tested by
which is maintained by
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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