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"reside within" is a correct and usable phrase in written English.
You can use it when you want to describe some kind of entity existing or living within a particular area or environment. For example, "The residents of this small village reside within the remote mountains."
Exact(60)
Most important places for imposing reform reside within of state governments.
Gone four years, but you reside within all of our hearts and minds forever.
Still, few outsiders visit the county, and few who reside within it visit the exterior.
The stigma of homelessness, however, does not reside within the geometrical confines of a coloured symbol.
Their souls are said to reside within the gates of this Shinto shrine.
So if there are enemies, perhaps they reside within, and are, paradoxically, a gift to the poet.
Endophytic bacteria reside within plant hosts without causing disease symptoms.
All 88 cells reside within an extremely sturdy stainless steel capsule to provide maximum protection.
Under unperturbed physiological circumstances, Muse-AT cells reside within the adipocyte and stromal vascular fractions [26].
The projected point X has to reside within the length of the search ray.
Microadaptivity, in the form of the inner loop, would reside within the learning object itself.
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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