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The phrase "the smaller" is correct and usable in written English.
You can use this phrase when you are making a comparison between two similar things. For example, "The smaller phone is much easier to carry around."
Dictionary
the smaller
adjective
Not large or big; insignificant; few in numbers or size.
Exact(60)
Kostya regarded the smaller gangster.
I took the smaller one.
The smaller one answered.
(The smaller, the cheaper).
So have others, including the smaller UPV.
And the smaller islands retain exchange controls.
The smaller central gallery looks more cohesive.
The smaller South American species eat insects.
But, the smaller, independent drillers, "are wild".
But even the smaller economies now disappoint.
The smaller re-emits it as green.
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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