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The phrase "arguments are based on" is correct and usable in written English.
You can use it when discussing the foundation or reasoning behind a particular argument or claim.
Example: "In her essay, she explains that her arguments are based on extensive research and empirical evidence."
Alternatives: "arguments rely on" or "arguments stem from".
Exact(55)
The arguments are based on transference from the commutative torus.
Their arguments are based on prejudices, not an interpretation of facts.
Moreover, Lomborg's and Ridley's arguments are based on cherry picking data.
By contrast, our arguments are based on subsequence techniques from Banach space theory.
They will also claim her arguments are based on "junk science", when there is no such thing.
Both arguments are based on the idea that people cannot be good unless their surroundings are right.
Similar(5)
It is now known all of these arguments were based on a misrecognition of the picture.
The fourth group of arguments is based on moral grounds, sometimes with strong missionary implications.
The reason for the above arguments is based on two considerations.
The above arguments were based on a very conservative reconstruction taking into account only universally distributed components.
I think that other reviewers might have some issues with the argument being based on this one enzyme.
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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