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The phrase "a second relevant factor" is correct and usable in written English.
It can be used when discussing multiple factors or considerations in a particular context, indicating that there is an additional important element to consider.
Example: "In evaluating the project's success, a second relevant factor is the level of community engagement."
Alternatives: "another important aspect" or "a further significant element".
Exact(3)
A second relevant factor was a person's diversity of social networks.
A second relevant factor was the circulation regime.
A second relevant factor to be taken into account is the colonoscopy workload associated with a given strategy.
Similar(57)
A third relevant factor was that our study was initiated in 2008, before the publication of the recent genome-wide surveys, and was, therefore, restricted to candidate genes known in 2008.
The first relevant factor is the evolution of the returns to human capital.
A second relevant problem is methodological quality.
A first, potentially relevant factor, to be considered when comparing the CBM results with the GHGIs, is the inclusion of C pools.
A second possible factor relevant for the health effects of social participation is urban/rural location.
When performing the model based on 2-week data, the ≥ 50% reduction in overall pain VAS during the first 2 weeks was identified as a relevant factor in influencing the outcome of depressive symptoms after 6 months.
A further relevant factor is the ability to change.
But in companies and segments that we are considering shorting, that's a very relevant factor.
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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