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The phrase "reach their limits" is correct and usable in written English.
You can use it to describe a situation in which a person or group experiences problems or limitations which become increasingly difficult to overcome. For example, "As production costs increased, the company soon reached its limits and had to reconsider their operations."
Exact(38)
How many structures will reach their limits?
However, centrifugal pumps reach their limits under critical conditions, as this case study at Puralube demonstrates.
As those innovations reach their limits, he suggested, growth will drop to a lower, historically more normal level.
Conventional methods such as direct physical sampling of waste reach their limits due to the interference with the waste matrix.
Merchants like Mr. Lubertazzi, who have been struggling to absorb rising costs instead of passing them on to their customers, are beginning to reach their limits.
The state has long said that it will not abandon welfare recipients who reach their limits; the State Constitution mandates that it care for the indigent.
Similar(22)
Both scales reach their limit at 500, leaving creative citizens of polluted cities to come up with their own labels when the air gets worse.
After decades of divisions, your telomeres get so short that they reach their limit (known as Hayflick's limit).
The gap between chip speed and performance continues to grow, and by 2010, copper wires could reach their limit.
They demonstrate what can happen when enough citizens truly reach their limit, voice their disgust and consistently demand better.
"My supplies are reaching their limits".
Write better and faster with AI suggestions while staying true to your unique style.
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