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The phrase "a small set" is correct and usable in written English.
It can be used when referring to a limited number of items or elements within a larger group.
Example: "In our study, we focused on a small set of variables that significantly impacted the results."
Alternatives: "a limited collection" or "a few items".
Exact(60)
A small set rolled through.
Admittedly, this is a small set.
I keep around a small set recent favourites.
Chemical reactions paths involve a small set of atoms.
Synthesis results for a small set of examples are provided.
The minor in GS consists of a small set of required courses plus 12 elective units.
The minor in GES consists of a small set of required courses plus 12 elective units.
PIMMS contains a small set of simple spectral models, and others can be imported.
My borther likes to have a small set of the Ixtauihuatl plants.
In 2011 a small set of maps was acquired from Rodney Shirley.
A small set of subject headings will retrieve most monographs and dissertations in the field.
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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