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The phrase "extends the relevance" is correct and usable in written English.
You would use it to express that a topic or idea has been made more important or more widely applicable. For example, you might say: "This new research extends the relevance of the study to many different contexts."
Exact(4)
This feature extends the relevance of the main result to measurements following other distributions than the normal.
Section 5 defuses the worry, extends the relevance of x-phi assisted explication to concepts with normative content, and shows how explication can undergird methodology in formal epistemology.
Although there are studies which have reported a negative association between earthquake related material losses and QOL [ 5, 8], the present study extends the relevance of the association to over two decades.
The inclusion of patients enrolled in both in-patient and out-patient PR programs extends the relevance of findings to both modes of PR delivery; however, there were few subjects included from the out-patient program and the majority of HCPs who participated in the focus group were involved in the delivery of in-patient PR.
Similar(55)
Then again, that's probably the point — by sending out a best-of weekly digest, Twitter is extending the relevance of messages which might have otherwise gone unnoticed.
It seems natural therefore to explore the possibility of extending the relevance of conditions (11)–(13) to a more general framework where piecewise differentiability is not inevitably present.
We also included the phase I and phase II metabolites of thymol, i.e. thymoquinone and thymol sulfate, respectively, to extend the relevance of our results to the in vivo situation where rapid metabolism of thymol has been demonstrated [32].
Pottermore will later incorporate an online shop where people can purchase exclusively the long-awaited Harry Potter eBooks, in partnership with J.K. Rowling's publishers worldwide, and is ultimately intended to become an online reading experience, extending the relevance of Harry Potter to new generations of readers, while still appealing to existing fans.
We extended the relevance of these findings by evaluating P-EphA2S897 and lamellipodia formation in intact cells.
Therefore, in order to extend the relevance of noggin in cancer-mediated osteolysis, it will be important to confirm the present findings in a CaM model of osteolytic bone metastasis.
Importantly, chronic, adenoviral-mediated systemic IL-1 expression was also able to exacerbate neurodegeneration in the SN, extending the relevance of the effects of inflammation on neurodegeneration to a more frequent scenario in the clinic.
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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