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The phrase "some solutions" is correct and can be used in written English.
You can use it when referring to a variety of potential solutions to a problem. For example, "We discussed some solutions to the housing crisis."
Exact(57)
Some solutions were simple.
Some "solutions" look bizarre.
Some solutions involve controversy.
Thankfully, there are some solutions.
So what about some solutions?
There are, however, some solutions.
Some solutions look like mere band-aids.
Maybe they know of some solutions!
Do some solutions form closed loops?
Some solutions are more convincing than others.
I believe there should be some solutions".
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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