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The phrase "a solution that satisfies" is correct and usable in written English.
It can be used when discussing a resolution or answer that meets specific criteria or requirements.
Example: "We need to find a solution that satisfies both the client's needs and our budget constraints."
Alternatives: "a solution that meets" or "a solution that fulfills".
Exact(37)
Marsh may arrive at a solution that satisfies embittered spouses of employees.
Soriot concluded: "We believe we have a solution that satisfies the majority of our shareholders".
Mr. Ferrer and Mr. Lynn both vowed to continue working together to come up with a solution that satisfies everyone.
We present the GSPML visual formalism as a solution that satisfies all of the pragmatic criteria.
"We are saying that we have to get our act together and to get a solution that satisfies everybody," Abdulla said.
"It is the board's responsibility to find the middle ground, to bring the two sides together and find a solution that satisfies everyone," Mr. Watt said.
Similar(23)
Three years ago, Congress appeared to find a solution that satisfied all parties.
But the longer the American officials were cut off from personal contact with Mr. Chen the more difficult it could become for the United States to reach a solution that satisfied the Chinese authorities.
Dudley replied that the paper was evaluated by "informatics and statistics peer reviewers, and believe me they put us through the ringer to deal with this issue and thankfully we came up with a solution" that satisfied them.
Thus, design algorithms have evolved over time to meet these needs from approaches that present a single solution that satisfies a weighted sum fitness function to multi-objective designs that return a family of equivalent solutions.
"I'm excited to see Heptio and Microsoft deliver a compelling solution that satisfies an important and unmet need in the Kubernetes ecosystem," said Burns.
More suggestions(15)
a solution that overcomes
a solution that persuades
a solution that implements
a decision that satisfies
a solution that gathers
a solution that fits
a solution that incorporates
a solution that demonstrates
a state that satisfies
a solution that sounds
a solution that fixes
a trick that satisfies
a question that satisfies
a version that satisfies
a plan that satisfies
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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