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The sentence "were conducted applying" is correct and usable in written English
You can use the sentence when you want to indicate that something was done following a certain procedure. For example, "The experiments were conducted applying the protocol established by the researchers."
Exact(13)
However, these studies were conducted applying only the combined strategy.
The studies of the equilibrium sorption isotherm were conducted applying the same procedure as in kinetic investigations.
In addition to blank runs, tests were conducted applying DC potential until the optimum voltage requirement is reached.
Learning tests were conducted applying a computer-controlled learning device that was integrated in the animals' home pen.
A series of 1-g large-scale shaking table model tests were conducted, applying similitude laws to evaluate the effectiveness of various aseismic measures.
Lightning performance studies were conducted applying two of the most commonly used return-stroke current models, besides the first stroke current model recommended by CIGRÉ.
Similar(47)
Data analysis was conducted applying the procedures of content analysis.
Exploratory spatial data analysis was conducted applying both global and local techniques of spatial association.
Experiment was conducted applying randomized complete block design based on split-plot trial plan.
The entire analysis was conducted applying a bilateral null hypothesis; accordingly, results with two-tailed p ≤ 0.05 were considered significant.
A study of the steady-state flow field in the unit was conducted applying computational fluid dynamics (CFD).
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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