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The phrase "approve of both" is correct and usable in written English.
You can use it when expressing agreement or support for two items, ideas, or individuals simultaneously.
Example: "I approve of both the proposed budget and the timeline for the project."
Alternatives: "support both" or "endorse both."
Exact(4)
Obviously if you're a strong partisan you're not going to be very approving of the candidate of the other party, but actually the majority of voters approve of both candidates.
People without religious confession appeared notably more inclined to approve of both end-of-life interventions than to those belonging to religious denominations.
Similarly, individuals from other denominations seemed more likely than their Catholic counterparts to approve of both WLPT alone, and of WLPT and EUT, but again these effects (ORWLPT only = 2.36, p = 0.131; OREUT (+WLPT) = 2.41, p = 0.100) remained statistically non-significant.
In order to assess whether the same or different determinants are relevant for each WLPT and EUT, we constructed a three-step outcome, differentiating between (1) those who reject both WLPT and EUT, (2) those, who approve WLPT while rejecting EUT, and lastly (3) those, who approve of both WLPT and EUT.
Similar(56)
Baldwin would have approved of both.
But actually the wrongness of these acts is a relatively recent discovery (the Bible, for instance, approves of both of them).
Somewhere, as Alabama reclaimed its past glories at the foot of the San Gabriel mountains, Bryant surely approved of both the result and the tenor.
Daz was the one who let Jarrett know that Snoop himself heartily approved of both the movie and how he played him.
Walker's base of Republicans overwhelmingly approves of both his performance as governor (90percentt) and his budget plan (87percent, 733 percent strongly), and 77percentt want him to stand strong rather than compromise.
In direct comparison of approving of WLPT only and approving of both WLPT and EUT, no statistically significant difference regarding care provision to dying individuals showed (p = 0.353).
Among the valid answers, less than one quarter rejected WLPT and EUT (22.6 %), while about another quarter approved only of WLPT (23.1 %) and more than half (54.3 %) approved of both WLPT and EUT.
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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