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The phrase "able to show how" is correct and usable in written English.
It can be used when discussing someone's capability to demonstrate a process or method.
Example: "The researcher is able to show how the new treatment improves patient outcomes."
Alternatives: "capable of demonstrating how" or "able to illustrate how".
Exact(60)
Moreover, we were able to show how the mutation caused the blistering.
And Martin Gardner was without parallel in being able to show how true that was.
"We now will be able to show how it is truly possible to do linkage" with other markets, she said.
By means of this distinction, Frege was able to show how there can be informative statements of identity.
"This is a learning process, and soon I'll be able to show how much I can do".
If Staley and McFarlane disagree, they'd better be able to show how the unhappy relationship is meant to work.
Despite almost a century of effort, the world's physicists have not been able to show how these theories work together.
On Adam Lyth, I am personally gutted he has not been able to show how good a player he is.
WHEN you argue for humanitarian military intervention, my colleague rightly says, you should be able to show how your military intervention serves humanitarian goals.
"I liked this story because I was able to show how people are trying to forget the war, cope, endure," says Mr Masri.
This person may have been able to show how what he or she believed to be chicanery was hidden from the accounting firms that checked Autonomy's books.
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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