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The phrase "by examining whether" is correct and usable in written English.
It is typically used to introduce a clause that describes a process or method of examining something. For example: "By examining whether the data is accurate, we can determine the reliability of our findings." In this sentence, "by examining whether" introduces the process of examining the data to determine its accuracy. Other possible contexts for using this phrase could include discussing research methods, analyzing evidence, or evaluating arguments.
Exact(60)
Telling evidence is provided by examining whether executives directly file their own patents.
We address this gap by examining whether citizens use egocentric or sociotropic judgments of congruence to evaluate democratic performance.
We evaluate this empirically by examining whether compensation-related disclosures in proxy statements influence investors' decisions in SoP votes.
You might begin by examining whether your department or organization welcomes constructive feedback rather than punishing it.
Then radiation efficiency of a resonance has been determined by examining whether the vibration pattern is in correspondence with a sound radiation mode possessing great radiation efficiency.
The performance can be further increased by deferring the correspondence decisions, that is, by examining whether the consequences of candidate correspondences lead to alternate and better solutions.
Courts have typically decided questions of fair use by examining whether new works have significantly altered or expanded upon existing works to add an original meaning or message.
In Experiment 2, we therefore tested the robustness of our results by examining whether the same determinants would generalize across movement patterns.
In our paper we test this theory by examining whether shifts in profit weights that are predicted by the theory are indeed associated with shifts in actual profits.
This study is designed to provide insights into the monitoring role of institutional investors by examining whether institutional ownership affects the quality of reported earnings.
We conclude by examining whether this empirical approach is appropriate to compare scale combinations to obtain a better prediction accuracy of DSM techniques.
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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