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"achieved significantly" is a correct and usable phrase in written English.
It is often used to describe an accomplishment or success that exceeds expectations. For example, "The company achieved significantly higher profits this quarter than was initially expected."
Exact(60)
We were all women who have achieved significantly and made outstanding contributions to our community.
In contrast, a university in the bottom 10 of the Times ranking will have about 46% of its students from working-class households, who will have achieved significantly lower A-level results.
Students working collaboratively achieved significantly higher than those working individually.
Lateral condensation achieved significantly better scores for radiographic quality.
Students also achieved significantly better academic grades with the new course format.
However, after longer curing FAF mixtures achieved significantly higher strength levels than SC or SL mixtures.
Results: CVVH achieved significantly greater IL-1ra clearance compared with CVVHD (P = 0.0003).
Dietitians and nutrition students achieved significantly greater mean scores than the remaining groups.
The "biological" group achieved significantly better clinical scores than the "synthetic" group at both 1 and 4 years.
The results indicate that students who responded "true" to the statement achieved significantly (p = 0.002) higher marks on the quiz.
Furthermore, a dialog manager with more reasonable POMDP transitions achieved significantly superior results compared to that of ST1.
More suggestions(15)
provided significantly
enforced significantly
reached significantly
achieved greatly
investigated significantly
achieved dramatically
achieved drastically
established significantly
achieved considerably
delivered significantly
completion significantly
attain significantly
achieved markedly
outcome significantly
success 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