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The phrase "a threshold of" is correct and usable in written English.
The phrase is often used when referring to a point or a level, beyond which something is no longer possible, or when something starts to take effect. For example, you could say "She had reached a threshold of stress, beyond which she could no longer cope."
Exact(60)
He has a threshold of one.
"We provide a threshold of knowledge for them," he said.
A threshold of 100 can be more divisive.
For those outside that demographic, the Excursion may pass a threshold of practicality.
Osborne wants to reach a threshold of £50,000 by 2020.
Our boy at age six has crossed a threshold of childhood.
But you have to have a threshold of happiness all around.
It's a feat both in and beyond art: a threshold of eternity.
With a threshold of five hundred thousand dollars, fewer than one million taxpayers would be affected.
Parliament must consider all petitions that reach a threshold of 100,000 votes.
At what point do such attacks on civilians cross a threshold of unacceptability?
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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