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The phrase "a constraint that" is grammatically correct and can be used in written English.
It is typically used to indicate that something acts as a limitation or restriction in a certain situation. Here is an example sentence: "The team was faced with a budget constraint that made it difficult to complete the project on time."
Exact(60)
But, he added, "it lifted a constraint" that had inhibited brain growth.
The mannerist text was written according to a constraint that made proceeding difficult — for example, a book without the letter "e".
At Arete, the women have just eight weeks, a constraint that seems to have further shifted the focus of the group from academics to dissecting students' behaviors.
(No two marks on the ruler can be separated by the same distance, a constraint that makes finding longer and longer ones exponentially more difficult).
Zoning regulations in New York City require new apartments to have at least 400 square feet — a constraint that has acted as a barrier to new housing possibilities.
Bound by international agreements, including a 13-year-old bilateral treaty with North Korea, South Korea has agreed not to enrich uranium for nuclear power, a constraint that chafes many people in this energy-poor society.
Unlike the Persian Gulf war in 1991, the United States and Britain have only very limited access to bases in the region, a constraint that has led the United States Army's Special Operations forces use an aircraft carrier as a floating base, a model that Britain announced on Friday that its Royal Marines will copy.
One byproduct of curtain-twitching neighbours is that the building had to be liberally sliced back at roof level, to pull away from the housing to the rear, a constraint that has been turned to an advantage by forming a series of terraced roof gardens.
Instead, for each iteration, only a constraint that is violated by the current solution is required.
There is a constraint that must be satisfied to generate all possible states.
The FCM has a constraint that makes it very sensitive to outliers.
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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