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The phrase "above a certain threshold" is correct and usable in written English.
It can be used in contexts where you want to indicate a limit or minimum level that must be exceeded for something to occur or be applicable.
Example: "The project will only receive funding if the proposed budget is above a certain threshold."
Alternatives: "beyond a specific limit" or "over a defined level".
Exact(59)
But they discovered that, above a certain threshold, the slipping began to slow.
In some programs, contributions are required only above a certain threshold.
"If you go above a certain threshold, the monkeys might think that they're seeing a face".
Above a certain threshold, longer hours ultimately reduce output and increase employee churn.
(It is the "marginal" rate because it applies only to income above a certain threshold).
In fact, bank deposits above a certain threshold are not safe.
If you haven't yet reached your full retirement age, earning money above a certain threshold will reduce your benefits.
The union claims the luxury tax is supposed to be dollar for dollar above a certain threshold.
The argument is that organisms with a deleterious mutation rate above a certain threshold must reproduce sexually.
Coral bleaches when water temperatures are raised above a certain threshold for an extended period of time.
It later imposed reporting requirements on cash payments above a certain threshold for items like homes, cars and so on.
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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