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The phrase "a fundamental factor influencing" is correct and usable in written English.
It can be used when discussing the key elements that have an impact on a particular situation or outcome.
Example: "Education is a fundamental factor influencing economic growth in developing countries."
Alternatives: "a key element affecting" or "a crucial aspect shaping".
Exact(2)
More recently, Williams and Collins (2001) have extended this argument, suggesting that race-based residential segregation is a fundamental factor influencing health disparities shaping differential access to multiple resources including but not limited to, education, income, and wealth necessary to maintain health.
The pervasiveness of these influences has led some to suggest that SEP is a "fundamental factor" influencing health by shaping access to multiple resources needed to maintain health and avoid disease (Link and Phelan 1995).
Similar(58)
Empirical results suggest that relative advantage and compatibility of online financial products are the fundamental factors influencing consumer behavior intention.
Fundamental factors influencing coal burst events include strong strata, abnormal strata caving, elevated stresses, critical size pillars and the lack of sufficiently sized barrier pillars during extraction.
Race-based residential segregation and economic inequality appear on the left of Figure 1 as fundamental factors influencing intermediate and proximate risks for CVD.
The study is guided by a conceptual model that considers race-based residential segregation and associated concentrations of poverty and wealth to be fundamental factors influencing multiple, more proximate predictors of cardiovascular risk.
Vincent et al. suggested that an organization's safety culture is a fundamental factor that influences system safety [ 2].
The status of the labour market, therefore, still seems to be a fundamental factor of influence, although more attention should be given to transnational dynamics in Europe, particularly internal EU mobility.
The sex of an individual is a fundamental factor that can influence exposure, susceptibility and immune responses to influenza.
Faith, in any case, is not a fundamental factor in democratic government.
Again, experience is a fundamental 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