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The phrase "has a unique solution" is correct and usable in written English.
It can be used when referring to a problem or issue that has only one solution. For example: "This difficult math problem has a unique solution."
Exact(60)
has a unique solution.
has a unique solution α.
has a unique solution (2.2).
has a unique solution, say.
has a unique solution denote.
has a unique solution in.
equation (4.1) has a unique solution in.
Thus (3.6) has a unique solution Moreover,.
So (2.11) has a unique solution.
has a unique solution a ¯ c ( h ).
Thus (1) has a unique solution.
More suggestions(15)
has a unique approach
has a unique settlement
has a single solution
has a unique advantage
has a unique character
has a unique position
has a unique ability
has a unique viewpoint
has a unique combination
has a unique role
has a unique design
has a unique mix
has a unique vision
has a unique capacity
has a unique structure
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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