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The phrase "are substantially higher" is correct and usable in written English.
It can be used when comparing quantities, values, or measurements that are significantly greater than another reference point.
Example: "The costs of living in urban areas are substantially higher than those in rural regions."
Alternatives: "are significantly greater" or "are markedly elevated."
Exact(60)
The gross margins are substantially higher than the average, which reflects the higher-end nature of the company's work.
Costs are substantially higher today.
Both averages are substantially higher than state and national averages.
"I expect our revenues are substantially higher than Christie's," Mr. Ruprecht said.
Prices generally are substantially higher than off the fair premises, but not outrageously so.
The corresponding break-even values for natural gas plants are substantially higher, near $60 per tonne.
Those dosages I've seen in the literature are substantially higher than the dosage Maria's doctor recommended for her medical condition.
Divorce rates for shift workers are substantially higher than those for day workers.
Greenhouse emissions from oil sands are substantially higher than from conventional oil and gas production.
They examined advanced economies and showed that fiscal multipliers are substantially higher than previously assumed.
That depends: in Denmark, where the FroboMind is being pioneered, labor costs are substantially higher than in the U.S.
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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