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The phrase "approach based on the" is correct and usable in written English.
It can be used when discussing a method or strategy that relies on a specific principle, theory, or set of criteria.
Example: "Our approach based on the latest research findings has yielded promising results in the study."
Alternatives: "method grounded in" or "strategy derived from".
Exact(60)
Thus, at just glance, our approach (based on the observation of behavioral transformations) seems like the only reasonable one presently.
The new government campaigned on a new approach based on the principle of burden-sharing.
Here at The Economist, we have long urged a more pragmatic approach, based on the insurance model.
The fifth is the approach based on the secret channel.
An approach based on the dose constraints principle is chosen.
In [9], the conventional approach based on the centralized control is proposed.
Where the fracture line exited medially, an anteromedial approach based on the tibialis anterior was used.
Molecular Field Topology Analysis (MFTA) [1] is a QSAR approach based on the local (atomic) descriptors.
A heuristic approach, based on the distance of MTs from the BSs, is considered in[4].
3, we describe a new approach based on the MDL principle.
Reference [33] has proposed a permutation alignment approach based on the power ratio measure.
More suggestions(16)
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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