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The phrase "the study applied" is correct and usable in written English.
You could use it in academic settings where you need to refer to a research study or project that was undertaken. For example: "The study applied a variety of methods in order to understand the relationship between economic inequality and health outcomes."
Exact(60)
But when the study applied PageRank to figures on Wikipedia, the results were odd.
The study applied a follow-up design.
The study applied both types of LCA: attributional and consequential.
The study applied a pre-test instruction post-test design.
For that reason, the study applied another model to test various underlying structural designs.
In addition, for the assessment of convergent validity, the study applied Fornell and Larcker's ([1981]) criterion.
The study applied a modified Leontief and Ghosh model under Input output framework.
The study applied a single-group pretest and posttest design to analyze behaviors.
Lastly, the authors of the study applied indicators of data quality [27], again according to KOMOD methodology [23].
In terms of beliefs KAP, the study applied count model estimation (negative binomial and Poisson regressions) and ordered probit regression.
The study applied a stochastic budgeting approach to evaluate proposed incentive strategies under different level of underground water.
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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