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The phrase "a shrinking number" is correct and usable in written English
It can be used to describe a decreasing quantity of something, often in contexts related to demographics, resources, or participation. Example: "In recent years, there has been a shrinking number of volunteers willing to help at the local shelter."
Exact(60)
There were several people of my rank for a shrinking number of positions.
Dan spent some of his time with a shrinking number of his former high-school friends.
Though America is saturated with guns, many are stockpiled in a shrinking number of homes.
His company was too small to compete on its own among a shrinking number of large auto conglomerates.
Nowadays, Scandinavians are offsetting a shrinking number of visitors from the countries that share the rapidly declining euro.
Chicks are now pretty much extinct, outside their own nest areas and a shrinking number of poorly maintained reserves.
A shrinking number of Americans did really, really well, but a growing number saw falling incomes and stagnant job growth".
La Salle University dropped its football program for the second time, citing a shrinking number of conference opponents for shutting down a program it revived in 1997.
Mr. Foley is one of a shrinking number of the old Bowery scamps, as much of a throwback as his middle name.
A shrinking number of corporate owners control a growing share of the nation's radio stations and program them with proven, if homogeneous, formats.
Amherst is among a shrinking number of colleges that admit students regardless of their financial need and then meet all of that demonstrated need for everyone who enrolls.
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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