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The phrase "and are validated by" is correct and usable in written English.
It can be used when discussing the confirmation or approval of something by a specific authority or process.
Example: "The results of the experiment are significant and are validated by multiple peer-reviewed studies."
Alternatives: "and are confirmed by" or "and are supported by".
Exact(26)
All four programmes were designed by the college and are validated by the Scottish university.
Also, practices that are created ex nihilo can fail to have the same purchase as those which have a long history and are validated by tradition and doctrine.
Design formulas of the DFITs are derived and are validated by two examples.
Kinetic parameters are determined using non-linear regression and are validated by means of statistical analysis.
Correlations are obtained from numerical results based on the finite volume method and are validated by measurements.
The new methods are evaluated by experimental data extracted from open literature and are validated by extensive error analysis.
Similar(34)
The method is shown to be stable and convergent and is validated by convergence tests.
The assay showed no cross-reactivity with other common domestic animals, and was validated by sequencing and enzyme digestion.
The coupled governing equations were solved numerically by finite element method (FEM), and were validated by comparing with experimental results.
Accurate bond wire modelling for fast usage at industry was demonstrated and was validated by measurements.
b) Course Survey (CUES): this instrument was designed ad hoc and was validated by experts on the matter.
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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