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The phrase "are only solutions" is correct and usable in written English.
It can be used when discussing options or answers to a problem, emphasizing that the mentioned items are the sole solutions available.
Example: "In this complex equation, the values we derived are only solutions that satisfy the given conditions."
Alternatives: "are the sole answers" or "are the exclusive solutions."
Exact(2)
New technologies are only solutions if they're implemented and the old, carbon-emitting ones are phased out or shut down.
Frequently, I have heard colleagues addressing the problem of piglet mortality and the need to use crates for sows to supposedly prevent crushing of pigs saying "it is either the sow or the piglets" meaning that there are only solutions to the problem giving only the sows a good welfare or only giving the piglets a good welfare.
Similar(58)
There's only solutions".
There is only solution now.
Simple hygiene is only solution in this end of antibiotic era to prevent HAI.
There are only three solutions.
These are only temporary solutions.
Note that these are only temporary solutions.
Keep in mind that insecticides are only temporary solutions.
However, these are only short term solutions.
Such solutions are only band aids.
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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