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"reach a certain threshold" is correct and can be used in written English.
You can use this phrase when you want to describe a standard or an amount that must be reached or achieved in order to accomplish something. For example: "We need to raise the funds to reach a certain threshold before we can begin construction on the project."
Exact(52)
"You won't get taxed until you reach a certain threshold".
Scotland already has a graduate tax, which students start paying back after they reach a certain threshold of pay.
Once you reach a certain threshold, money is deposited to a Pay Pal account or redeemed for a gift card.
Fund raising appeals often announce that some funds have already been raised in order to reach a certain threshold.
This state simply lowers the speed of the main motors until they reach a certain threshold where the helicopter is sinking downwards.
First, any action has some expressive quality; in order to count as "expressive conduct," the expressive content of the action must reach a certain threshold of significance.
Similar(8)
And when the number of people who have overcome their fear has reached a certain threshold, change is inevitable".
Mr. Breslin recalled that for that first deal he had to lower the rent, but got a percentage of the revenue if it reached a certain threshold.
Indeed, once the popularity of a cultural experience reaches a certain threshold, failure to consume it may entail significant social costs.
If the number of cases in a district reaches a certain threshold, then vaccinations and antibiotics are ordered for that district.
If the difference is too great, the robot's guilt level reaches a certain threshold, and it stops using the weapon.
More suggestions(15)
reach a certain type
reach a certain age
reach a modest threshold
reach a certain target
reach a minimal threshold
reach a certain position
reach a certain proficiency
reach a certain contentment
reach a specific threshold
reach a certain marker
reach a functional threshold
reach a certain scale
reach a next threshold
reach a certain quorum
reach a critical threshold
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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