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The part of the sentence "are explained based on" is correct and can be used in written English
You can use it to refer to something being explained in relation to a set of external criteria or standards. For example: "The regulations of the company are explained based on a set of safety guidelines."
Exact(14)
The physical meaning of the function constants are explained based on the flow analysis.
The observed results are explained based on the subplantation model for DLC film growth.
These observations are explained based on the model of an anharmonic oscillator.
The principles are explained based on a three segment design but extension to more segments is straightforward.
Results are explained based on the differences in the stacking fault energy and fracture toughness of the materials.
The steps in shell formation are explained based on the changes in the ζ-potential measured using a zetasizer.
Similar(46)
This will be explained based on an analysis on the case law on gender-based violence (Section III) and parental rights (Section IV).
The difference between QD and BID can be explained based on the duration of drug action versus the probability of patients skipping one or multiple doses sequentially [ 33].
These observations were explained based on equilibrium theory.
Furthermore, updating based on new available data is explained based on a Bayesian approach.
These will be explained based on the effects of the strains on the carrier effective masses.
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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