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The phrase "able to examine how" is correct and usable in written English.
You can use it when discussing the capability to analyze or investigate a particular process or situation.
Example: "The researchers were able to examine how the new treatment affected patient recovery times."
Alternatives: "capable of analyzing how" or "able to investigate how".
Exact(13)
In just two 50-min lab periods, students are able to examine how predation can lead to cluster formation, the first step in the transition to multicellularity.
U.S. households for the first time would be able to examine how much a college's graduates earn and how often its students receive a degree with new data the Obama administration intends to make public in the coming weeks.
We were, therefore, able to examine how the complete and selective loss of IA/Kv4 affects neuronal firing patterns.
By comparing the predicted and observed maps we were able to examine how well our predictions fitted the observed mortality and in which regions there were mismatches.
Using single-trial methods, we were able to examine how free choices proceed despite the potential for this process to vary from trial to trial.
We did not quantify Mn concentrations in indoor air or house dust, so we were not able to examine how well blood and hair Mn concentrations correlated to air and dust Mn concentrations.
Similar(45)
However, before the advent of HS-AFM, no experiments were able to be conducted to examine how cooperative catalysis in the F1-ATPase took place.
Then, we put this aside in §§4 and 5 to examine how Frege was able to derive the Dedekind/Peano axioms of number theory from Hume's Principle alone.
This month, opposition politicians asked the ethics commissioner to examine how Ms. Guergis was able to obtain a $880,000 mortgage on a home in Ottawa without a down payment, an unusual arrangement in Canada.
We then proceeded to use the methods to examine how well an ensemble refinement method is able to recover an ensemble of conformations using (synthetic) experimental data.
Now let's take a step back to examine how we can effectively move forward.
More suggestions(16)
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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