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The phrase "in more general" is correct and usable in written English
You could use it when you want to specify that something is more generally applicable than something else. For example: "This theory has been used in many specific situations, but in more general terms it applies to any type of business."
Exact(60)
However, no researcher has studied the fixed point theorems for N-generalized hybrid mappings in more general spaces.
The prince expressed similar sentiment in more general terms.
But he's happier talking in more general terms.
Both Femi and Seun maintain the political outspokenness of their father, albeit in more general terms.
But it was written in more general terms, as the Supreme Court once noted in passing.
However, in more general terms, I can see plenty of good that has come out of it.
Daumier's colossal gifts included personal caricature, though in his later life he dealt almost entirely in more general social satire.
Political discussion on less partisan matters and in a less partisan tone tends to take place in more general magazines.
In more general models, one must resort to suboptimal algorithms.
Next, the different codes were grouped in more general themes.
Co-ordinate transformations can be defined which result in more general definitions of the state vector.
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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