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The phrase "solution depends on" is correct and usable in written English
It can be used when discussing the factors or conditions that influence the outcome of a problem or situation. Example: "The effectiveness of our approach to climate change mitigation solution depends on the cooperation of all stakeholders involved."
Exact(60)
Of course, the exact value of all these parameters for one single solution depends on the choice of threshold.
The thermal-structural analyses are carried out under the assumption that the stress-displacement solution depends on the temperature field, but there is no inverse dependency.
The solution depends on age.
The solution depends on the problem.
Its solution depends on whom you're playing for.
Its proposed solution depends on raising fares and tolls possibly as early as January.
The conductance of a solution depends on the number and types of ions in the solution.
The bottom line: for each company, the solution depends on a variety of factors, like business model and the industry.
The dredging should improve things, she said, but the only lasting solution depends on reducing contaminants from the streets, sidewalks and culverts that drain down to the canal.
The crazy-quilt budget solution depends on funds that will not be available next year, including about $2 billion from the tobacco settlement and federal aid.
The concentration of the saturated solution depends on the temperature, in most cases a higher temperature resulting in a higher concentration.
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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