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The phrase "a critical threshold" is correct and usable in written English.
It can be used in contexts where a specific point or level is significant for a particular outcome or effect, often in scientific, technical, or analytical discussions.
Example: "The study found that once the temperature reached a critical threshold, the chemical reaction accelerated dramatically."
Alternatives: "a crucial limit" or "an essential boundary".
Exact(57)
He suggested a theory of a critical threshold of asphyxia beyond which brain damage occurs.
"We humankind find ourselves at an inflection point, a critical threshold," Sexton has written.
This proportion is a critical threshold and is crucial in their approach.
Those green ponds have passed a critical threshold, called a tipping point.
Astronomers observed a critical threshold known as the "Bondi radius" using Chandra.
This Schmidt law breaks down, however, at densities below a critical threshold value.
We are now at a critical threshold in the Iran nuclear crisis.
First, their numbers must reach a critical threshold; a few token foreigners will probably have little impact.
Similar(3)
Once the legion of science bloggers reaches a critical threshold, the poultry problem will look paltry.
In other words, the cell density of the community must be above a critical threshold to have a community effect.
In HIV-1, beyond a critical threshold of about 6 uM, Rev polymerizes into regular, unbranched filaments [18].
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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