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The phrase "the paper written" is correct and usable in written English
It can be used when referring to a paper that has been completed or authored. Example: "I was impressed by the quality of the paper written by the students in the class."
Exact(33)
The paper, written in the aftermath of the Strangeways prison riots, reflected thinking that alternatives to prison were urgently needed.
In 2004, The News spun him into a comic strip in the paper written and drawn by Peter Bagge.
The paper, written with a post-doc, Massimiliano Zampini, was titled "The Role of Auditory Cues in Modulating the Perceived Crispness and Staleness of Potato Chips".
The paper, written by Gregory Enns, contained contributions from thirty-three authors, including Matthew Bainbridge, Hudson Freeze, David Goldstein, and Vandana Shashi.
The paper, written by Cleckley and Corbett H. Thigpen of the Medical College of Georgia in Augusta, is recognized as the first documented observation of multiple personality disorder.
The most popular theory, offered in the paper written by Ms. Juhn and Mr. Potter, is that the Census Bureau's estimate of the nation's population is too low.
Similar(27)
It galloped over it," the paper wrote.
To some degree, yes," the paper wrote.
DB conceived the paper, wrote the first draft.
EM conceived the paper, wrote the first and final drafts.
At the top of the paper, write that a=b.
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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