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The phrase "a set of about" is correct and usable in written English.
It can be used when referring to an approximate quantity or collection of items or concepts.
Example: "We have a set of about ten different tools available for the project."
Alternatives: "a group of approximately" or "a collection of roughly".
Exact(50)
Each sampling device was composed of a set of about 30 diffusive milligel (DMG) beads.
He had just done a set of about 10 songs, Mr. Abeles recalled.
Each performance gives the audience a set of about a dozen songs.
We expect to be able to apply our method to a set of about 10,000 objects.
The system performance has been surveyed on a set of about 100 motors subjected to a detailed experimental study.
NPCs are composed of multiple copies of a set of about 30 different nucleoporins, which are often large, multidomain proteins.
Similar(10)
What might seem a set of questions about the past become challenges still unresolved about priorities for the future.
The line about not being embarrassed ultimately reflects a set of ideas about self-consciousness.
Suppose that \ \C_A\subseteq\pow(T_A)\) is a set of conjectures about Ann states (similarly, let \ \C_B\subseteq\pow(T_B \) be a set of conjectures about Bob states).
1) a set of questions about intention.
I gave a set of lectures about that.
More suggestions(2)
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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