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The phrase 'this work shows' is correct and usable in written English.
You can use it when you want to emphasize that something is demonstrated or proven by something else. For example, "This work shows that the increase in online sales can be attributed to the success of the advertising campaign."
Exact(60)
As this work shows, that remains a vexed question.
And this work shows the typical power of his penmanship.
This work shows that assumption is not true.
This work shows promises to develop BEM-based simulators.
This work shows AAFP has great potential for allergy therapy.
This work shows an ungainly image of a corpulent monk trying to tie his shoe.
Written when he was 8, this work shows astonishing mastery of orchestration.
This work shows that the connectome is much more complex than originally thought.
This work shows how ash from Antarctic volcanoes may pose a higher threat than previously believed.
This work shows beleaguered English virtues lined up against a host of parodied modern absurdities.
This work shows a nanolaser with spontaneous emission coupling factor close to unity.
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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