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The phrase "at much higher levels" is correct and usable in written English.
It can be used to describe a situation or condition that is significantly elevated or increased compared to a baseline or standard.
Example: "The new policy is expected to result in productivity at much higher levels than before."
Alternatives: "at significantly elevated levels" or "at considerably higher levels".
Exact(60)
And the thinking is taking place at much higher levels".
And ethical matters are now debated at much higher levels.
Many other states pay for energy efficiency programs at much higher levels.
Under current law, the tax would have disappeared entirely next year, only to reappear at much higher levels in 2011.
Restaurant and liquor-store sales are at much higher levels, and purchases at warehouse stores are up nearly 50percentt.
Even with the declines, claims are still at much higher levels than they would be in a healthy economy.
So now is definitely a better time to buy than six months ago when companies were trading at much higher levels.
Yet surveys have found that handouts, informed consent documents and Hipaa forms — those long, legalistic papers detailing patients' privacy rights — are often written at much higher levels.
Glacial erratics and glacially striated rocks on mountain summits now high above current ice-sheet levels testify to an overriding by ice at much higher levels.
In fish inhabiting a freshwater, blood ionic concentrations are maintained at much higher levels than those of the ambient water.
Unchanged albuterol and its conjugated metabolites were detected in the urine of healthy volunteers at much higher levels than in the urine of the asthmatics.
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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