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The phrase "an even higher" is correct and usable in written English.
It can be used when comparing levels or degrees, indicating something that surpasses a previously mentioned level.
Example: "The new model offers an even higher level of performance than its predecessor."
Alternatives: "a greater level" or "a superior degree".
Exact(58)
On an even higher difficulty setting.
And he got an even higher mark.
We have an even higher standard.
"I have to set an even higher standard".
The Johnsons have an even higher media profile.
That seems like an even higher hurdle than the hardware.
(Sevastopol has an even higher proportion of ethnic Russians).
This suggests an even higher bill for PPI.
He is aiming for an even higher tidemark than May's.
"We have an even higher expectation of ourselves.
Some airlines have reported an even higher differential.
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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