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The phrase "an interpretation based on" is correct and usable in written English.
You can use it when discussing how a particular conclusion or understanding is derived from specific evidence or sources.
Example: "Her analysis provides an interpretation based on the latest research findings in the field."
Alternatives: "a reading derived from" or "an understanding grounded in".
Exact(19)
The U.S. government claimed that subject to the jurisdiction thereof meant "to be subject to the political jurisdiction of the United States"—an interpretation, based on international law, which would exclude parents and their children who owed allegiance to another country via the principle of jus sanguinis (citizenship inherited from a parent).
Fenner, F. The pathogenesis of the acute exanthems; an interpretation based on experimental investigations with mousepox; infectious ectromelia of mice.
The solid state photoluminescent properties of the complexes have been investigated and an interpretation based on computational models has been proposed.
To the Editor: Instead of presenting an interpretation based on a close reading of the "Ethics," Harry V. Jaffa has chosen to view Aristotle through the lens of "the crisis of the West".
The early version of this work [20] produced an interpretation based on the impact of combinations of fragments present in the feature vector of a query structure.
Here we choose an interpretation based on mass action kinetics, which results in a Hill function.
Similar(41)
NOTE: a Interpretations based on NCCLS guidelines, NA-not applicable; Susc- Susceptiblity, Pen-Penicillin; Amp-Ampicillin; Van-Vancomycin; Te-Teicoplanin, Va. Te-Teicoplanin, Va
In the following we shall present an interpretation of the text from the scholastic period and a modern interpretation based on a three-valued semantics.
The effect was given a semiquantitative interpretation based on a model of protective film destabilization under high flux of dissolving aluminium ions, and a relatively slow relaxation of the film during the rest time period.
We argue that the data allows for an alternative interpretation based on so far unrecognized dynamics in the experimental design.
They preferred an ornithischian interpretation based on the forward-pointing hallux and presence of manus impressions.
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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