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The phrase "a general implication that" is correct and usable in written English.
It can be used when discussing a broader meaning or suggestion that can be inferred from a statement or situation.
Example: "The study presents a general implication that increased physical activity can lead to better mental health outcomes."
Alternatives: "a broad suggestion that" or "an overarching indication that".
Exact(1)
There's a general implication that humour is involved in human mating, being a common way for men to gain attention from women (however ridiculously).
Similar(59)
A general implication is that reliable estimates of average and maximum bite forces from food material properties require that the full range of tissues masticated be tested.
Further studies will be necessary to confirm our results that are, to our knowledge, the first ones to suggest an impact of "social isolation" on sensory development, and they have important general implications that go far beyond birdsong research.
A general implication of my analysis is that corporate taxation plays a special role in Schumpeterian economies and provides novel insights on how to design welfare-enhancing tax reforms.
A general implication drawn from the article is that the 'Transplantation' or 'Convergence' of the formal law means nothing without any local initiatives to 'customize' them as living laws within the actual commercial practice.
She said she didn't want to assume what a colleague might be thinking, but that the general implication that Christians should get priority was troubling. .
The general implication is that during meiosis or mitosis, a ZSCAN4-mediated mechanism, possibly involving interactions with centromeres and/or telomeres, detects unpaired chromosomes and detaches them from the replication apparatus.
The general implication is that, as in the basal ganglia, a low ratio of venules to arterioles in human cortex may mean venous congestion in cerebral malaria disrupts flow to disproportionately large areas of tissue.
The general implication is that natural selection may operate on many different mutational combinations, that a wide variety of patterns of protein modulation become available to Darwinian evolution and that the protein will easily cope with new situations.
The general implication is that regions of multiple-copy loss against polysomic backgrounds may highlight particularly interesting regions, analogous to homozygous deletions that remove tumor suppressor genes, even if they do not eliminate the gene or even produce LOH.
The idea of seeing the phenomena as situational is also present in the leadership literature, where the general implication is that effective managers have the ability to both conceive and perform multiple and conceptually contradictory roles (Quinn et al. 1982; Denison et al. 1995; Hooijberg 1996), and which presents a more comprehensive way to describe the work of the managers.
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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