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"comprehensively solved" is correct and usable in written English.
You can use it when you want to emphasize that a problem or issue has been completely and thoroughly resolved. For example, "The mystery was comprehensively solved by the detective."
Exact(4)
In this way, the three problems of traditional SE models might be comprehensively solved.
The conversion procedure is summarized in Appendix 4, and is comprehensively solved by linear programming in [18].
However, the above three problems have not yet been comprehensively solved due to the intrinsic non-convexity and nonlinearity of traditional SE models.
Subsequently, corresponding to each upper level individual, the lower level optimization task is comprehensively solved by evolving another population of (n = 20) individuals.
Similar(56)
Five years ago, I and my colleagues decided to comprehensively solve this problem at Binghamton University.
Instead of enlisting a draft to solve this problem, we should create focus groups of 15-year-olds and ask them if they want their country to systematically, comprehensively solve the problem of gun violence in schools.
Plainness solved.
Mystery solved.
Problem solved.
— gets solved.
Murder solved.
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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