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Discover Ludwig"unprecedentedly high" is correct and usable in written English.
It is an adverb that can be used to describe a level of something that surpasses expectations. Example: The company's profits rose unprecedentedly high last quarter.
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Early indications point to an unprecedentedly high Muslim turnout and unprecedentedly high youth participation.
Thanks to the growing computing power, atmospheric models can now run at unprecedentedly high resolutions.
It's certainly true that in 2001, interest in food was unprecedentedly high.
Lee, J. W. et al. Quantum-dot-sensitized solar cell with unprecedentedly high photocurrent.
The company blames "unprecedentedly high levels of conductor sickness and reluctance among train crew to work overtime".
That means reducing the unprecedentedly high savings rate, a large share of which accrues to state-owned enterprises.
The ATLAS muon chambers are exposed to unprecedentedly high background of photons and neutrons induced by the proton collisions.
The use of 4-amino-3-nitrophenol affords monodispersed carbon spheres with unprecedentedly high nitrogen content of about 11.9 wt%.
It goes without saying that there is a direct correlation between teacher workload and stress levels, and both are currently unprecedentedly high.
Migrants, many of them African-Americans from the rural South, were drawn by its pioneering car factories with their unprecedentedly high wages.
Trump's commanding electoral college lead and his unprecedentedly high unfavorable ratings in opinion polls both add dramatically to the dissonance of the outcome.
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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