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The phrase "a solution on this" is correct and usable in written English.
It can be used when discussing a resolution or answer to a specific issue or problem.
Example: "We need to find a solution on this matter before the deadline approaches."
Alternatives: "a solution to this" or "an answer to this".
Exact(5)
I am not pretending we'll come to a result and a solution on this".
"The need for action has increased, and it's correct that the finance minister will increase his efforts to work towards a solution on this issue," Mr. Offer said at a news conference.
That intention was made clear in a letter sent to villagers by the Israeli military authorities after Mordechai's visit, which read: "In light of your update concerning the intention to reach a solution on this subject, please find enclosed a list of the illegal buildings constructed in violation of the orders, and which you are requested to evacuate independently".
"He was the first Negro minister whom I have ever heard who can reduce the Negro problem to a spiritual matter and yet inspire the people to seek a solution on this side of the Jordan not in life after death".
I'd be telling myself I needed to find a solution on this car first.
Similar(55)
Fear not, there may be a solution on the way.
Is a solution on the way?
and on be a solution of this equation.
I have not decided on a solution for this one.
For instance, is a solution on ℝ+ of the equation with This observation motivates us to formulate that w(x) behaves like eμ+ x for x→ − ∞ and like eμ− x for x→ +∞in a weaker sense that we now make precise.
"They have no intention of imposing a solution on us".
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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