The phrase "allowed the influence of" is correct and usable in written English.
It can be used when discussing how someone or something has permitted external factors or forces to affect a situation or decision.
Example: "The committee allowed the influence of public opinion to shape their final decision on the policy."
Alternatives: "permitted the impact of" or "accepted the effect of".
At the same time, it allowed the influence of these early days to be acknowledged.
But we have allowed the influence of money to dominate here like everywhere in DC.
The obtained Mathieu equation allowed the influence of additional elements on the position of solutions on a stability chart to be analysed.
The results of the experimental investigation allowed the influence of various parameters on the response of the connections to be assessed, such as load eccentricity, variation in net area, plate width and number of rivets.
Interviews with partners also allowed the influence of family on dietary decisions to be explored.
ANCOVA was used to test if the independent variable was having an effect and allowed the influence of the covariates to be controlled for during analysis.
But as a gun owner himself, Mr. Reid said he would not allow the influence of the National Rifle Association to prevent the Senate from acting.
This has created a vacuum where those in charge are sticking to the doctrines of the Catholic church, rather than allowing the influence of the younger, more urban generation that is generally much more accepting of the LGBT community.
But the Seattle ruling offers an easily grasped understanding of what is at stake: "A failure to regulate the arena of campaign finance allows the influence of wealthy individuals and corporations to drown out the voices of individual citizens".
The theoretical models allow the influence of various design parameters to be investigated.
We extend the model to allow the influence of exogenous variables to vary across the population.
