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Discover LudwigThe phrase "demonstrated how" is correct and commonly used in written English.
It is typically used to describe how something was shown or proven to be true or effective. Here is an example: "The scientist clearly demonstrated how the new medication could significantly reduce symptoms in patients with chronic pain."
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Computer modeling demonstrated how.
WRVU demonstrated how wrong that image is.
Then he demonstrated how to close out.
He has demonstrated how dangerous he is.
Scientists just demonstrated how gross it is.
These results demonstrated how dangerous and immoral obedience can be.
A recent Oxford University survey demonstrated how we measure up.
Mark Itabashi of Murrieta, Calif., demonstrated how to do it.
Wilpon demonstrated how the ball rolled off Rivera's fingers.
Various experiments have demonstrated how common these qualities are.
Yet 2016 has demonstrated how quickly politics can change.
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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