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The phrase 'significant effects in' is correct and usable in written English
You can use it when you are describing or discussing the impact or effects of an action or situation. For example, "Studies have shown that there have been significant effects in the way that people travel since the coronavirus outbreak."
Exact(60)
There were no statistically significant effects in houses with cats alone or with no pets.
But it could have significant effects in the long term.
A recent meta-analysis of 209 studies concluded that mindfulness-based interventions showed "large and clinically significant effects" in treating anxiety and depression – effects, crucially, that were maintained through follow-up.
Analysts and activists said the new policy entailed a difficult balancing act between carrot and stick, and they said they did not expect it to produce significant effects in the near term.
Isoflurane presented no significant effects in both ARDS groups.
We find no statistically significant effects in Ticino.
In a randomized, controlled study, the exercises were shown to have statistically significant effects in improving memory and attention.
Overall, ampicillin displayed significant effects in both Gram-negative and Gram-positive bacteria [18].
Moreover, parents' ages at death have large and significant effects in the expected direction.
As for the "Electronic components" sector, we recognize significant effects in Japan and the ROW.
Table 2 reveals significant effects in the expected negative direction for all models.
More suggestions(15)
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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