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The sentence "did not differ significantly" is correct and usable in written English.
You can use it when discussing topics that have minor differences or similarities. For example, "The results of the two studies did not differ significantly, suggesting a similar outcome."
Exact(60)
These results did not differ significantly for differently colored wounds.
The weather did not differ significantly.
The ability of bees to collect sugary nectar did not differ significantly between the bees.
Ratings did not differ significantly.
The latter groups did not differ significantly from each other.
Other groups did not differ significantly from the controls.
Measures on quantity and graduated frequencies did not differ significantly.
Average feed intake did not differ significantly amongst the groups.
However, other measurements did not differ significantly between the groups.
They did not differ significantly on binge-eating or dieting.
The risk did not differ significantly according to ER status.
More suggestions(21)
habits did not differ significantly
did not fluctuate significantly
did not differ greatly
did not vary significantly
did not differ substantially
did not differ vastly
did not differ drastically
did no differ significantly
did not deviate significantly
did not differ markedly
did not depend significantly
did not differ appreciably
did not differ considerably
did not depart significantly
did not diverge significantly
did not differ dramatically
did not differ noticeably
did not differ perceptibly
did not differentiate significantly
did not varied significantly
didn't differ significantly
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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