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The phrase "are both active and" is correct and usable in written English.
It can be used when describing two or more subjects that are engaged in an action or state simultaneously.
Example: "The participants in the study are both active and engaged in their learning processes."
Alternatives: "are simultaneously active and" or "are both involved and".
Exact(13)
They are both active and passive – an interpreter and a vessel.
Here we exploit the versatility of the perovskite structure to search for oxide catalysts that are both active and stable.
Over the last 10 years, several research groups have been researching oxygen carriers which are both active and stable under fluidized bed conditions.
It also dovetails nicely with the company's other efforts around languages, specifically providing translation frameworks for a wide range of languages that are both active and in decline (an effort that broke the 100-language barrier earlier this year).
The MET structures are mostly inactive and broadly distributed, the ALK structures are mostly active (or close to it), and the EGFR structures are both active and inactive (Fig. 6c).
We create work that pushes a viewer to react and question by using our own personal experiences and textural materials (e.g., fabrics, light, reflective surfaces and natural elements) to create environments that are both active and passive.
Similar(47)
The main European Union summit meeting on Sunday is intended to show that the bloc is both active and united — two qualities lately in doubt.
Responding to his sister's frustrations with typical bikinis, John Moran, 25, designed his own for women who like to be both active and stylish.
So I gave them something to do that would be both active and fun, while also allowing them to be creative.
Case detection was both active and passive.
This suggests that response behaviors of people with greater social anxiety were more likely to have elements that were both active and passive, and both constructive and destructive.
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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