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"By this means" is a perfectly correct and usable expression in written English.
It is typically used to indicate how a desired outcome has been achieved or can be achieved. For example: "By this means, I have been able to reduce costs and increase efficiency."
Exact(60)
By this means, they asserted, juvenile delinquency would be eliminated.
By this means he would identify issues which "touched" people.
By this means, and others, Da Ponte makes the Countess the moral center of the opera.
By this means, and by feigning madness, he was set free.
By this means crusades, cathedrals, hospitals, and even bridges were financed.
By this means plated brass can be made more or less indistinguishable from cast brass.
By this means we detect targets.
By this means you insure yourself against outliving your savings.
By this means, different samples can be distinguished.
By this means, the configuration overhead can be greatly reduced.
By this means, backmixing effects can be accounted for.
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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