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"this number of" is a grammatically correct phrase and can be used in written English.
It is typically used to refer to a specific quantity or amount of something. Example: "This number of students passed the exam with flying colors."
Exact(59)
And you get this number of 150.
I'm this number of years old.
"We're not prepared for this number of casualties.
There is no possible excuse for this number of casualties".
"In that context, this number of defamation actions is far more sinister".
"Is it possible that people can have this number of tragedies?" she asked.
"This number of fires in this rather compressed time period is something new to me".
"With this number of people, the government have to take notice," he said.
"Abandonment cases with this number of animals are unusual," Mr. Burkhart said.
"As I understand it, I don't think they expected this number of casualties.
"If this number of people went to Kim's Video, we would have stayed for a while.
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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