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The phrase "a common explanation for this difference" is correct and usable in written English.
You can use it when discussing reasons or justifications for a particular difference observed in a study, analysis, or comparison.
Example: "Researchers have identified a common explanation for this difference, attributing it to varying environmental factors."
Alternatives: "a frequent rationale for this discrepancy" or "a typical reason for this variation."
Exact(1)
A common explanation for this difference is that women have a higher propensity to seek care because they have a lower threshold to admit illness [ 6].
Similar(59)
CpG deamination is a common explanation for elevated transition:transversion ratios in high GC regions and could cause differences in rates between genic and intergenic regions.
The most tempting, and common, explanation for the different reactions is that there is a significant difference in law - that President Roosevelt's Order stands on much firmer legal ground than President Bush's order.
Common explanations for the difference are counteracting each other.
The trends in survival and in the socioeconomic differences in survival may have a common explanation.
A full explanation for this difference was not found.
We do not have a clear explanation for this difference.
Our results provide a simple explanation for this difference.
We do not have a full explanation for this difference.
There is a straightforward explanation for this difference.
A complete explanation for this difference remains to be elucidated.
More suggestions(1)
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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