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The phrase "are both relevant" is correct and usable in written English.
You can use it when discussing two or more items, ideas, or factors that are pertinent to a particular topic or situation.
Example: "In this discussion, the economic and social factors are both relevant to understanding the issue at hand."
Alternatives: "are both significant" or "are both applicable".
Dictionary
are both relevant
determiner
Each of the two; one and the other;
Exact(31)
The positive account celebrates the live nature of the dance performance and helps to explain why kinesthetic responses to dance performances are both relevant and powerful.
The latter two mathematical strategy types are both relevant to the task, but only a General Proportional strategy can fully solve the task given to the participants.
Finally, in the case of ATM withdrawals, the annual fee of the card and the cost incurred in every withdrawal (the ATM fee) are both relevant prices.
The latter expounded on student MtL during primary and secondary school, which are both relevant for research on adult learning (Courtney 1992; Gorges 2015; Gorges and Kandler 2012).
The demands on drug discovery organizations have increased dramatically in recent years, partly because of the need to identify novel targets that are both relevant to disease and chemically tractable.
The evaluation feedback from BAE Systems and the Ministry of Defence representatives suggests that the architecture and prototype implementation of the IDES for the provision of organisational decision support are both relevant and mature for future industrial application.
Similar(28)
"You design whatever it is you think is both relevant now and true to yourself," he says.
Adam is responsible for ensuring that there is a broad range of academic content for IGGY members, which is both relevant and engaging.
"Visa is always looking for advertising creative that would be both relevant to consumers and newsworthy," said Will Valentine, a spokesman for Visa.
FOR years, the problem of how to be both relevant and imaginative in the first summer of the new millennium has nagged at curators the world over.
Picked by: Lindsay Pattison, global CEO, Maxus Advertising today has to achieve the right balance of consistency versus speed, being both relevant and cleverly placed.
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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