The phrase 'in that league' is correct and commonly used in written English.
It is typically used to compare or categorize something or someone within a certain group or level. Example: "I'm sorry, but your performance is just not in that league. We need someone with more experience and skills for this position."
Exact(60)
Launchbury is not in that league.
She is not in that league".
"China is not in that league yet".
I'm not in that league".
"I never thought I was in that league.
She was certainly not in that league.
These guys are not in that league.
I don't see anybody that's even in that league".
Was Mr. Jobs in that league of thinkers?
The United States is not in that league.
But is the Mombasa really in that league?
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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