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Discover LudwigThe phrase "Vast number" is correct and usable in written English.
It can be used to describe a large quantity or a significant amount of something. Example: "The research revealed a vast number of species that had yet to be discovered in the rainforest."
Exact(60)
"They represent a vast number of users of Kerberos.
A vast number of people depend on film and TV.
Dawn Ades analyses a vast number of individual paintings.
"Pickle," beloved by a vast number of family and friends.
There are a vast number of less populous groups.
That's a vast number of children we're still letting down.
This vast number of trees and parks, you know?
Simple fixed-point iterations call for a vast number of cycles.
How to make sense out of this vast number of existing and possible structures?
Viruses are intracellular pathogens responsible for a vast number of human diseases.
That logic would invalidate a vast number of the procedures employed by the administrative state.
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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