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The phrase "a general relevance" is correct and usable in written English.
It can be used when discussing the importance or applicability of a topic or idea in a broad context.
Example: "The findings of this study have a general relevance to the field of psychology, as they highlight common patterns in human behavior."
Alternatives: "overall significance" or "broad applicability".
Exact(4)
It is expected that the conclusions drawn from this comprehensive review of the Spanish case have a general relevance for other countries undertaking the development path of renewable technologies.
These interesting observations appear to suggest that loss of Pfn1 expression may have a general relevance in cancer progression.
The independent fusion of evolutionary distinct CS and myosin sequences may reflect a general relevance of CS interaction with the cytoskeleton.
Although data relevance is vital to study relevance, of necessity, in WoE it is evaluated within a general relevance construct rather than in a case-specific context.
Similar(56)
The study is seen as having a direct general relevance to the optimal design of ion-conducting polymer hosts for both Li-ion battery and polymer fuel-cell applications.
In March 1933, Gödel received a letter from Paul Finsler, from Zürich, who suggested that he had already earlier (in Finsler 1926) done closely related work but with a more general relevance.
In addition, our results may have a more general relevance and extend to surgical procedures other than OLT in patients with end stageliver disease.
However, the dramatic and continuing increase in human energy intake indicates that the present observations may have a more general relevance to human health.
Therefore, variant peptides that can be shown to have the desired functional efficacy without binding to antibodies might have a more general relevance beyond immunotherapy.
Third, confirming the results of an RNAi experiment in another strain provides a good means to test for the general relevance of a phenotype.
To determine whether the therapy helps the patients to improve in the following secondary outcomes: (a) secondary outcomes of general relevance for the patient: general symptoms; general functioning; clinical global impressions.
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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