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The phrase "as demonstrated" is grammatically correct and can be used in written English
It is typically used to introduce a clause that provides evidence or support for a previous statement. Example: As demonstrated by the results of the experiment, the hypothesis was proven to be true.
Exact(59)
All files appear as plaintext, aside from images, as demonstrated in this sample page.
The BDS movement is clearly making waves, as demonstrated by the impact it had on SodaStream.
Right/Left K - Look as demonstrated.
As demonstrated yesterday, that strategy is having mixed results among black and Hispanic Democrats.
As demonstrated by Labour's recent stumbles in the polls, Britons badly want more.
As demonstrated further below, Treasury can afford to buy at substantially higher prices.
As demonstrated, the estate tax is a tax on the very, very well off.
As demonstrated here, the technology seems whiz-bang but unthreatening.
As demonstrated in Sect.
As demonstrated in the video, the Onlive app is a functional but often disappointing affair.
As demonstrated in the image below, NBC shows are in plentiful supply on BitTorrent.
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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