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The phrase "are validated with the" is correct and usable in written English.
It can be used when discussing the process of confirming or verifying something in relation to a specific context or criteria.
Example: "The results of the experiment are validated with the established scientific methods to ensure accuracy."
Alternatives: "are confirmed by the" or "are verified using the".
Exact(60)
The simulation studies are validated with the experimental results.
The results obtained are validated with the reference study results.
The simulation results are validated with the experimental observations.
The numerical results are validated with the analytical approach.
The present results are validated with the previous literature results.
The obtained results are validated with the numerical data using commercial TCAD software.
The results of the numerical simulation are validated with the corresponding experimental measurements.
The explicit local buckling formulas of rotationally restrained plates are validated with the exact transcendental solutions.
The designs are validated with the simulations and the experimental observations.
Results from the economic model are validated with the data in the open literature, if available.
The numerically predicted results are validated with the experimental data available in the literature.
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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