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The phrase "significant differences were" is correct and usable in written English.
You could use it in a sentence to describe the results of an experiment, such as: "The experiment revealed that significant differences were present in the outcomes."
Exact(60)
No significant differences were identified.
No significant differences were observed.
Significant differences were considered at P < 0.05.
No other significant differences were observed.
Significant differences were calculated as described before.
No significant differences were detected across gender.
No overall significant differences were found.
Significant differences were accepted at p < 0.01.
Statistically significant differences were observed (##p < 0.01).
No significant differences were found between groups.
No statistically significant differences were detected.
More suggestions(17)
noticeable differences were
sizeable differences were
appreciable differences were
significant differences existed
significant differences become
significant differences designed
significant differences described
significant differences considered
significant differences demonstrated
significant differences corresponded
significant documents were
significant correlations were
significant fortunes were
significant data were
significant changes were
significant effects were
significant differences appeared
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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