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The phrase "are theirs" is grammatically correct and can be used in written English.
It is a possessive phrase used to indicate that something belongs to or is associated with a specific group or individuals. Example: "The books on the top shelf are theirs, so please be careful when you handle them."
Dictionary
are theirs
pronoun
That which belongs to them; the possessive case of they, used without a following noun.
Exact(60)
Those miles are theirs, not their employer's," wrote Ryan.
Their bodies are theirs and theirs alone.
I know, most women think their breasts are theirs.
It is unacceptable to pretend that once our friends leave the military, their issues are theirs alone to deal with.
Their lives are theirs, not mine.
Other than that, all the singles stuffed in their orifices are theirs to keep.
"Their reasons are theirs, not yours" beams at me from page 45.
I carefully edited what they sent me to avoid references to specific schools and districts, otherwise their comments are theirs.
Their thoughts are theirs.
Are seen no more; changed hearts are theirs.
Not shockingly, artists think that their impulses and ideas are theirs alone, not the epiphenomenal output of historical processes.
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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