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The phrase "a new solution for" is correct and usable in written English.
It can be used when introducing a fresh approach or answer to a problem or challenge.
Example: "Our team has developed a new solution for reducing energy consumption in our manufacturing process."
Alternatives: "an innovative answer to" or "a fresh approach to".
Exact(60)
Thanks to $7 million in state funding that became available in December, New Haven officials may have a new solution for some of the families on the waiting list.
"You can't embrace a new technology and overnight make it a new solution for 12,000 tons a day of residential waste moving out of New York City," said Kate Ascher, executive vice president of the New York City Economic Development Corporation, which the mayor has asked to help long-term alternatives for exporting the waste.
PaMZ will also be compatible with anti-retrovirals (ARV) for treating HIV, offering a new solution for millions of co-infected HIV-TB patients.
The shelter represents a new solution for state legislators and county officials as they try to figure out how best to support such victims.
A new solution for the combined effect is derived.
Akin et al. [33] tried to find a new solution for diagnosing the epilepsy.
Additionally, application of thermal engine provides a new solution for miniaturization of ocean thermal energy conversion.
Finding a new solution for managing these dredged marine sediments becomes a challenge for harbors managers.
Business cloud emerges as a new solution for providing on-demand business services over Internet.
The research in this paper provides a new solution for undersea oil spill accident treatment.
The WalkAbout: a new solution for preventing falls in the elderly and disabled.
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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