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The phrase "a path to a solution" is correct and usable in written English.
You can use it when discussing methods or approaches that lead to resolving a problem or finding an answer.
Example: "After analyzing the data, we believe we have identified a path to a solution that will address the client's concerns."
Alternatives: "a way to resolve" or "a route to a resolution."
Exact(6)
DIPLOMACY under the two-state banner is no longer a path to a solution but an obstacle itself.
I also discovered over the years that I'm good at taking complex problems and simplifying them and figuring out a path to a solution.
It involves finding a path to a solution when there is no clear place to begin.
Savransky (1999) defines the inventive problem as "a problem which includes a contradiction and/or for which a path to a solution is unknown".
The fight against ISIS offers the possibility of a path to a solution to the crisis however tenuous.
That's when an outside expert is needed to serve as a guide who can see the total picture and offer a path to a solution.
Similar(54)
"We're not out to provoke ICE, just to offer a path to a reasonable solution," she told me.
It takes a deep feeling that a problem matters and that you see a path to a viable solution.
"Our initial review indicates that these ideas will not likely put us on a path to a two-building solution," Janno Lieber, who oversees the World Trade Center project for Mr. Silverstein, said in a statement Monday.
Second, the status quo is not a path to a one-state solution, but to Bosnian-style ethnic cleansing, which could erupt as quickly as the Gaza fighting did last year and spread to Israeli Arab cities. Right-wing Israelis and Hamas leaders alike are pushing for a cataclysmic fight.
As this example suggests, it is possible to distinguish between an optimizing strategy, which gives one the best path to a solution, and a satisficing strategy, which is the first acceptable solution one generates.
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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