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The phrase "is shown to" is correct and usable in written English.
You can use it to describe how a certain action reveals something to be true or a certain thing to be present. For example, "The evidence is shown to be inconclusive."
Dictionary
is shown to
verb
To display, to have somebody see (something).
Exact(60)
The article is shown to the court.
Everything is shown to the people in this false light.
Each mentor is shown to be flawed or fallible.
His vocation is shown to have a terrible cost.
An outdoor dramatic presentation is shown to the patients.
Personality is shown to be a variable construction".
Life is shown to be homely, cute, and disgusting.
Now that, too, is shown to be questionable.
"Hence arises the strange indulgence which is shown to bankrupts".
Travers, by contrast, is shown to be tormented and contradictory.
The method is shown to be accurate.
More suggestions(25)
bandwidth is shown to
been shown to orbit
been shown to signify
been shown to necessitate
been shown to normalise
been shown to weld
been shown to crawl
been shown to inflate
crossings are shown to
disappearance was shown to
deviation is shown to
is showed to
is confirmed to
is indicated to
is displayed to
is acknowledged to
is revealed to
is worked to
is shot to
is suggested to
is characterised to
is illustrated to
is shortened to
is demonstrated to
is comprised to
Write better and faster with AI suggestions while staying true to your unique style.
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