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The phrase "a very reasonable solution" is correct and usable in written English.
You can use it when discussing a solution that is logical, fair, or sensible in a given context.
Example: "After reviewing all the options, we concluded that a very reasonable solution would be to extend the deadline for the project."
Alternatives: "a quite sensible solution" or "an entirely logical solution."
Exact(3)
The numerical assessment against finite element results indicates that the basic version of DTEM can achieve a very reasonable solution accuracy, while the enhanced version further improves the accuracy to a high level.
"We are not saying that this will stop DVD, but CD is a very reasonable solution to make higher capacity without adding too much to cost".
Coupled with the fact that the trypanosome requires large amounts of tubulin dimer, the T. brucei arrangement of a large number of alternating genes provides a very reasonable solution in an organism lacking transcriptional controls.
Similar(57)
It was marketed as an "excellent solution for your business real estate needs at a very reasonable cost".
The value proposition offered by Calico Computer Consulting is quite simple: timely and practical solutions for client's computer problems and/or upgrades, all at a very reasonable and competitive rate.
That is a very reasonable injunction.
"It is a reasonable increase, a very reasonable increase to make sure there are reasonable stocks in the second quarter".
"This was an opportunity to apply a very reasonable concept.
Ms. Martinez's spokesman called it a "very reasonable compromise".
It was "a very reasonable request," Mr. Skelos said.
But Jonathan Pershing, I find to be a very reasonable man.
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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