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The phrase "was shown by" is correct and can be used in written English.
It is typically used to indicate who or what performed an action in the past. Example: The success of the project was shown by the dedication and hard work of the team members. In this sentence, "was shown by" is used to show that the team members were the ones responsible for the success of the project.
Exact(60)
"Almost no interest was shown by the Americans," Stone says.
That was shown by the tortuous writing process.
The offside decision that invalidated the goal was shown by TV replays to be an error.
Just how personal those relationships can be was shown by one BlackBerry recovered in Australia.
This was shown by our failure to do anything about Indo- China or Quemoy.
(This bias, incidentally, was shown by male and female recruiters alike).
A cluster of gaily colored diatoms arranged in patterns was shown by Edward Marszalkiewicz.
The same tact was shown by Craig Biesecker as Aeneas and Marjorie Folkman as Dido's sister, Belinda.
Just how much was shown by a security audit conducted by government inspectors last fall, before the federal takeover.
This, Mr. Kuh maintained, was shown by his having left the prosecutor's office shortly after Mr. Bruce was convicted.
Long before Keynes, this essential point was shown by John M Robertson in The Fallacy of Saving (1892).
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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