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The phrase "are based on established" is correct and usable in written English.
It can be used when discussing concepts, theories, or practices that rely on recognized or accepted foundations or principles.
Example: "The findings of this research are based on established scientific methods and previous studies in the field."
Alternatives: "are grounded in recognized" or "are founded on accepted".
Exact(14)
Of the 25 games EA puts out each year, 18 are based on established brands.
In logic it means that conclusions are based on established / agreed-on premises.
Correlational models provide projections on the implementation of policies describing the system using correlation and are based on established economic theory.
Poster campaigns regarding hand hygiene are commonly used by infection control teams to improve practice, yet little is known of the extent to which they are based on established theory or research.
Settings are based on established values and preliminary experiments.
SNP model codes are based on established NCBI nomenclature.
Similar(46)
All of these methods are based on establishing a rapid dynamic equilibration between a minute amount of growing free radicals and a large majority of the dormant species.
The development of cryopreservation protocols for cell-based therapeutics have been based on established strategies to balance the "two-factors" of cryoinjury that influence cell recovery.
The key point is that both Taylor's argument and that of his critics were based on established facts.
"All of the charges were based on established case law".
Our simulation methodology is based on established network evaluation methodologies.
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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