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"consequential implications" is a correct and usable phrase in written English.
It is used to refer to the significant or far-reaching effects of a particular event or action. For example, "The accidental release of toxins had serious consequential implications on the local environment."
Exact(3)
Yet those very words suggested that there were deep and consequential implications in the aftermath of the election for both the government -- and for the American political system.
However, researchers considering the use of such designs in clinical research face a series of choices that have consequential implications for the interpretability and value of the experimental results.
Identifying the specific genes associated with these QTLs will further our understanding of the mechanisms of fast underwater internode elongation in rice, with consequential implications for breeding improved DW cultivars.
Similar(55)
The construction of Aristotelian squares of opposition and their combination to Aristotelian cubes in systems of consequential implication is considered in Pizzi 2008.
Pizzi and Williamson also show that in any normal system of consequential logic that contains BT, the formula (A → B) ≡ (A ≡ B) is provable if (A → B) ⊃ (A ⊃ B) is provable, in other words, consequential implication collapses into classical equivalence if (A → B) ⊃ (A ⊃ B) is provable.
Finally, Section VII includes this work's results and consequential policy implications.
These results have consequential evolutionary and conservation implications.
The implications of including consequential impacts including indirect land-use change, and the effects of selecting alternative allocation methods on the interpretation of results are discussed.
While this assumption, on its face, may not appear to be terribly consequential, it actually does have two important implications.
The implications for modern conservatism are even more consequential.
In addition to their consequential national impact, the series of forthcoming elections involve cross-border implications that influence prospects for regional policy coordination and, therefore, the nature and speed of the solutions for Europe's debt crisis.
More suggestions(15)
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momentous implications
indirect implications
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incidental implications
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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