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The phrase "a comprehensive solution to the problem" is correct and usable in written English.
You can use it when discussing a thorough and all-encompassing answer or approach to a specific issue or challenge.
Example: "After extensive research, we have developed a comprehensive solution to the problem of waste management in urban areas."
Alternatives: "an all-encompassing answer to the issue" or "a thorough resolution to the challenge."
Exact(7)
This is not a comprehensive solution to the problem of open-space equity.
Top state and federal officials have been meeting in Washington in recent days to try to hammer out a comprehensive solution to the problem.
A comprehensive solution to the problem includes several policy options that simultaneously control the dynamics of the system, minimizing the risk of unintended consequences.
This work provides a comprehensive solution to the problem of sensor network-based target localization with bearing measurements as very little a prior information is assumed known and, if certain sensing conditions are met, efficient algorithms are provided.
Steven H. Stern, a Democrat who is chairman of the Legislature's committee on veteran and senior affairs, said that temporary workers could not be expected to provide the same level of service as permanent employees and that a comprehensive solution to the problem was needed.
"Ever since complaints began to be received, Leeds City Council has sought to ensure a comprehensive solution to the problem is identified and implemented.
Similar(53)
But for Turkey to gain E.U. membership one more thing is required, and that is to cooperate in the efforts for a comprehensive solution to the Cyprus problem.
"The international community must therefore seek a comprehensive solution to the twin problems, rather than just focusing on problems at sea".
It offers a comprehensive solution to the animal waste problem.
"We still have a lot of work that needs to be done in order to find a comprehensive solution to the Postal Service's serious financial problems," he added.
"In summary, Leeds City Council has expended significant resources to find a comprehensive solution to this problem which ultimately is the responsibility of the owners of Bridgewater Place".
More suggestions(14)
a comprehensive solution to the animal
a safe solution to the problem
a comprehensive solution to the war
a comprehensive solution to the refugee
a real solution to the problem
a comprehensive solution to the housing
a comprehensive solution to the management
a comprehensive solution to the safety
a comprehensive solution to the euro-zone
a comprehensive solution to the dispute
a viable solution to the problem
a brilliant solution to the problem
a satisfactory solution to the problem
a cardinal solution to the problem
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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