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The phrase "further implies that" is correct and usable in written English.
It can be used when you want to indicate that something adds additional meaning or suggests a conclusion based on previous information.
Example: "The study's findings are significant and further implies that more research is needed in this area."
Alternatives: "suggests that" or "indicates that".
Exact(60)
This standard requires auditors to maintain a stance of neutrality toward their clients, and it further implies that auditors must be perceived by the public as being independent.
Further, implies that (3.16).
which further implies that (2.15).
It follows that, which further implies that.
which, from implies that this further implies that, a contradiction.
which further implies that by (i), hence, (2.6).
This together with the fact that further implies that (3.7).
Therefore which further implies that, Hence the claim follows.
It further implies that wRz for some w ∈ X.
This further implies that (lim_{trightarrowinfty}x t)=0) a.s.s
Therefore, A is bounded in X, which further implies that A is partially bounded in X.
More suggestions(17)
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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