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The phrase "are much higher" is correct and usable in written English.
It can be used to compare levels, quantities, or measurements that are significantly greater than another reference point.
Example: "The temperatures in the summer months are much higher than those in the winter."
Alternatives: "are significantly greater" or "are considerably elevated."
Dictionary
are much higher
adverb
To a great extent.
Exact(59)
"The stakes are much higher".
(Other estimates are much higher).
Some estimates are much higher than that.
But the stakes are much higher.
"The gangster levels are much higher".
Its capital ratios are much higher.
Private estimates are much higher (see chart).
Taxes on new homes are much higher.
"My goals are much higher".
For consumers, the stakes are much higher.
"London salaries and bonuses are much higher.
More suggestions(18)
are considerably higher
prefer much higher
are much easier
are considerable higher
involve much higher
contain much higher
enable much higher
support much higher
explain much higher
originated much higher
rise much higher
present much higher
manage much higher
suggest much higher
expect much higher
are much harder
are much weaker
are much firmer
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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