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The phrase "may differ according" is correct and can be used in written English.
It is typically used to indicate that something could vary or change depending on a certain factor. It is commonly seen in technical or scientific writing. Example: The results of the experiment may differ according to the temperature of the environment.
Exact(60)
Thus, the biological activities may differ according to the different isoforms of adiponectin.
Hierarchies of item difficulty may differ according to diagnosis or by country/region or by different translations of measures.
For example, hand wash; fast wash; baby cycle; half wash; heavy duty; minimum iron and child locks – names for these may differ according to brand.
Optimal flow may differ according to the population.
The configuration of the WITB may differ according to family status, provinces and disability conditions.
Their metrics may differ according to policies used by the organization.
The authors consider that the views may differ according to the user of transport modes.
The permeability of d-luciferin within the hydrogel may differ according to its mechanical strength.
The level of targeted temperature may differ according to the situation.
The "ecological consequences," however, may differ according to the antibiotic used.
The distribution of blood types may differ according to which reference class is selected.
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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