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The phrase "a solution if" is correct and usable in written English.
It can be used to introduce a conditional statement where a solution is dependent on a specific condition being met.
Example: "We can find a solution if we work together and communicate effectively."
Alternatives: "an answer provided that" or "a resolution assuming that".
Exact(60)
Plaintiff and the Company had proposed a solution if the sculpture was to be moved.
Raising buildings is only a solution if you commit to holding the beaches in place forever.
That such a solution, if it even existed, could be arrived at algorithmically is also implausible.
Attrition may provide a solution if the Tigers' losses continue on a large scale.
"We have to come up with a solution if that freedom is not in accordance with our beliefs and culture".
Mr Popper (Russell Morton) comes up with a solution: if there are performing seals, why not performing penguins?
For me, there can only be a solution if both sides, Europe and Greece, come to a compromise".
"You can't find a solution if you don't acknowledge and engage the other side's story," she notes.
A problem-solving algorithm is a procedure that is guaranteed to produce a solution if it is followed strictly.
Perhaps Franz Beckenbauer with his Football 2014 group can present us with a solution, if not today then tomorrow".
"Otherwise, it makes no sense to think we have a solution, if others don't think we have one".
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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