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The phrase "allows the relationship between" is correct and usable in written English.
It can be used when discussing how one factor enables or facilitates a connection or interaction between two or more entities.
Example: "The new policy allows the relationship between employees and management to improve significantly."
Alternatives: "facilitates the connection between" or "enables the interaction between".
Exact(18)
Mitochondrial DNA contains a region that is particularly prone to mutation, and studying this allows the relationship between living people to be worked out by looking at which mutations they have in common.Dr Murray-McIntosh and her colleagues examined mitochondrial DNA from 54 women.
A set of tasks can be brought together and described in a document, much like a wiki page, that allows the relationship between all the tasks to be expressed and annotated.
The interaction between U rst and T rist allows the relationship between the school-leaving state unemployment rate and access to employer-sponsored health insurance to vary (i.e., either expand or compress) across time.
The organization pairs the athletes and coaches up, performs Criminal Record Bureau CRBB) checks, but then allows the relationship between the pair to develop on its own; and thus, whilst once a week is the minimum, runners are then free to decide if they want to go more or make their visits longer.
It allows the relationship between parent and child to become a two-way street.
First, this data allows the relationship between the effects of gene deletions on genetic and environmental robustness to be examined.
Similar(42)
PCA allows the relationships between compounds (the observations) and their retention parameters (the variables) to be visualised in usually just two or three dimensions.
The family of solutions allows the relationships between the objectives to be explored and thus enables the library designer to make an informed choice on an appropriate compromise solution.
Third, our filter allows the relationships between neural activity and arm movement at multiple time offsets to be used simultaneously.
The Tottenham MP, David Lammy, said questions needed to be answered to allow the relationship between the community and the police to heal.
Flower also took his share of responsibility for allowing the relationship between Pietersen and the rest of the team to deteriorate to the point where he had to be excluded, specifically for not tackling the issue of the spoof KP Genius Twitter account which amused several England players largely because the real KP struggled to see the funny side of it.
More suggestions(17)
permits the relationship between
allows the correlation between
acknowledges the relationship between
incorporates the relationship between
allows the linkage between
allows the link between
where the relationship between
allows the links between
limitations the relationship between
facilitating the relationship between
allows the interactions between
enabled the relationship between
possible the relationship between
allows the separation between
allows the association between
allows the relation between
allows the demarcation between
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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