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The phrase "are established on a" is correct and usable in written English.
It can be used when discussing the foundation or basis of something, often in formal or academic contexts.
Example: "The principles of the organization are established on a commitment to sustainability and ethical practices."
Alternatives: "are based on a" or "are founded on a".
Exact(9)
The basis of annual-plan control is managerial objectives that is to say, specific goals, such as sales and profitability, that are established on a monthly or quarterly basis.
Methane air PPFs are established on a rectangular Wolfhard-Parker slot burner.
I decided that I wanted to understand, firsthand, how science-funding priorities are established on a national level.
The recrystallization kinetics are established on a microlevel and the simulations are performed using a 3D cellular automaton algorithm with probabilistic cell state switches.
As a result, guidelines for the design of multiplexed electrosprays are established on a fundamental basis, without the need for costly and empirical microfabrication prototyping.
Fishner-Wolfson declined to comment on how much money 137 Ventures has raised, but he does say that the terms outlined in these reports are misleading, because deals are established on a case by case basis.
Similar(49)
The rules in MYCIN are established on an uncertainty framework called "certainty factors".
In 1948, with the completion of the demobilisation process, the Citizens Force was re-raised as the Citizens Military Force (CMF), which was established on a restricted establishment of two divisions.
The group discussed whether assault was possible within a loving relationship, and how consent needs to be established on a continuous basis – agreeing to one act did not mean agreeing to all sexual acts.
In 1836, the new school, Emory College, was established on a tract of land in Newton County one mile north of Covington, Georgia.
The miserable porcelain beast was established on a platform at the entrance to the student union.
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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