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The phrase "a consequence of multiple" is correct and usable in written English.
It can be used when discussing the results or effects that arise from various factors or elements.
Example: "The decline in biodiversity is often seen as a consequence of multiple environmental stressors."
Alternatives: "result of several" or "outcome of various".
Exact(60)
Many of the troops returning from Iraq and Afghanistan are in their forties and fifties, a consequence of multiple deployments of the National Guard and the Reserves.
Inclusion of the relevant molecular interaction fields could significantly improve the predictive accuracy which suggested that enantioselectivity was a consequence of multiple molecular interactions.
Firm location patterns emerge as a consequence of multiple factors, including firm considerations, labor force availability, market opportunities, and transportation costs.
This analysis has shown that Σ3n reactions, which occur as a consequence of multiple twinning, not only improve the GBCD but are also critical for disrupting the connectivity of the random boundary network.
The high variability of plasma distribution functions and flow properties may represent a consequence of multiple and bursty reconnections, and coalescence of a number of vortices may constitute the structure of the post-plasmoid plasma sheet.
Diverse injuries are a consequence of multiple inflammatory mediators (complement, kinins, kallikrein, cytokines).
I was still at the university when I learned that my German literature teacher had died as a consequence of multiple sclerosis.
Up to recently we have proceeded from a premise that poverty is a consequence of multiple evils: lack of education restricting job opportunities; poor housing which stultified home life and suppressed initiative; fragile family relationships which distorted personality development.
However, as the figure shows, returns from ranges 1, 2, and 3 in the E region appear at lower ranges at later times as a consequence of multiple reflections from the E region.
However, our results do not elucidate whether these changes reflect plastic changes of the brain as a consequence of multiple, daily shock-like pain conveyed by Aδ fibres or a causal factor in the development of TN.
As shown in Figure 4(a), only the bottom part of the sidewall has been exposed without the diffuser, which is a consequence of multiple reflection and diffraction inside the 3D mask.
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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