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The phrase "a very solid assumption" is correct and usable in written English.
It can be used when discussing a belief or conclusion that is considered to be well-founded or reliable.
Example: "Based on the data we have collected, we can make a very solid assumption about the market trends for the upcoming year."
Alternatives: "a strong assumption" or "a reliable assumption".
Exact(1)
That was a very solid assumption since the birth of the internal combustion engine but now that we have electric cars and solar and wind power - it's no longer such a direct correlation.
Similar(57)
We need a very solid motive.
We played a very solid team game.
That's not a very solid foundation".
It has a very solid hook.
"It was a very solid diagnosis".
"It is a very solid performer".
"It was a very solid day.
The car has a very solid feel.
"It's seen as a very solid value".
It's a very solid, and effortless experience.
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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