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"this will imply that" is correct and usable in written English.
You can use it when you want to suggest a possible consequence or implication of an action. For example, "If Johnny fails the exam, this will imply that he will need to retake the course."
Exact(17)
Let and We show that Now, implies that It is clear that in We can use the last part of Lemma in [13] to conclude that which, in turn, implies that This will imply that is upper semicontinuous.
Mood-as-input hypothesis predicts that if high worriers ask the question "do I feel like continuing?" in the context of increasing negative mood, this will imply that the activity is no longer enjoyable or profitable and should be terminated.
This will imply that the minimal number of generators can be represented as generating functions.
This will imply that the number of measurements is not large enough for the (good) positioning.
This will imply that (u(t) preceq U t)) for any (t geq0).
Clearly this will imply that the sequence (x n ) is Cauchy.
Similar(43)
This, in turn, will imply that there exists a solution of the problem (4 - 6).
Satisfying the condition of modularity in this manner, also will imply that the assumptions of positivity, exchangeability and consistency are met.
Otherwise, for, constraint (10) will imply that.
Analysis of the European Commission suggests that this will imply a primary surplus of 2.2% of GDP on average in the period from 2023 to 2060.
Even if God's character absolutely precludes His performing certain actions in certain contexts, this will not imply that some external factor is in any way a partial origin of His willings and refrainings from willing.
More suggestions(15)
this will show that
this will reveal that
this will bring that
this will reflect that
this will indicate that
this will say that
this will mean that
this will signify that
this will suggest that
this will resolve that
this will improve that
this will be that
this will prevent that
this will facilitate that
this will amplify that
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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