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"might have a solution" is correct and usable in written English.
You can use it to indicate that there could possibly be a solution to a problem. For example, "This issue is complicated, but it might have a solution."
Exact(18)
"We might have a solution in short order".
But they might have a solution to their scoring drought: Blas Perez, who is keen to damage his former club.
Scientists think they might have a solution to both issues, by engineering a cow superfood of more digestible grass.
Piaggio, the Italian conglomerate that owns the Vespa, Aprilia and Moto Guzzi brands, might have a solution.
I was just chubby, and sometimes quite chubby, with a hunger that threatened to make matters worse and a gnawing, deepening self-consciousness that Mom picked up on and that she decided she might have a solution to.
The idea that the mystery might have a solution gives the narrative a satisfying shape; it's also gratifying to see Lee offered the most tentative handshake of redemptive human connection.
Similar(42)
But the big difference is practical and might have a practical solution.
And as a manager and as the C.E.O., you might be surprised because they might have a better solution than you were thinking of.
Clearly, equation (1.1) is of a hyperbolic-parabolic mixed type and might have a discontinuous solution.
Clearly, equation (1.1) is of hyperbolic-parabolic mixed type and might have a discontinuous solution.
They won't necessarily see them as technical problems, but they will identify capability gaps that might have a technical solution.
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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