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"probably as a consequence" is correct and usable in written English
You can use it to show when something happened as a result of another action, or to express uncertainty about a situation. For example: "He lost his job, probably as a consequence of his poor performance."
Exact(60)
Basin margins appear to have been generally stable, probably as a consequence of the relatively shallow water depths.
Genotype assignment analyses suggested that the eight subpopulations can be grouped into two clusters, probably as a consequence of environmental landscape elements affecting gene flow patterns.
The soil properties were also observed to influence both hydrogen peroxide decomposition and TCE oxidation kinetics, probably as a consequence of the different TOC content.
Results also revealed a decrease of serum uric acid level (P <.01), probably as a consequence of elevated uric acid urinary excretion (P <.09).
When cells reach that permissibility level, DNA synthesis is aberrant and cells eventually die probably as a consequence of the replicative stress generated.
Probably as a consequence, they already performed so well during the placebo condition, that it may be hard to elicit and detect improvements.
The PDSI shows the lowest sensitivity to variation in their climate inputs, probably as a consequence of the standardization procedure of soil water budget anomalies.
Google Reader is in second place, probably as a consequence of its huge numbers and engagement via views.
We propose therefore that interictally in migraine there is an excessive prevalence of inhibition probably as a consequence of reduced excitation.
NTG is known to induce spontaneous-like headache attacks in migraine sufferers [16], probably as a consequence of sensitization phenomena [27].
In contrary, Scenario 1 is considered rather risky and probably as a consequence to that, its score on all remaining criteria is low (Fig. 9).
More suggestions(15)
eventually as a consequence
conceivably as a consequence
certainly as a consequence
necessarily as a consequence
really as a consequence
undoubtedly as a consequence
perhaps as a consequence
maybe as a consequence
clearly as a consequence
presumably as a consequence
probably as a means
probably as a precaution
probably as a backup
probably as a result
probably as a person
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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