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The phrase "existing relations" is correct and usable in written English.
It can be used when discussing current connections or associations between entities, such as individuals, organizations, or concepts.
Example: "The study aims to analyze the impact of existing relations between different cultural groups on social cohesion."
Alternatives: "current relationships" or "ongoing connections."
Exact(47)
Comparisons are then made with the existing relations using statistical analysis.
The reconcilers dwell on what may be worth preserving in existing relations with the rest of Europe.
The eco-innovation may entail radical, path-breaking changes in existing relations between the firm and its production network.
In this paper, initially the existing relations, suggested for the design of drainage system of heap leaching structures, are analyzed.
We cemented existing relations with partners such as the Soros Foundation, the BBC World Service Trust, the Thomson Reuters Foundation, and Transition Online in Prague.
Existing relations between the values promoted by moral education and the values of religious education are not overlapping but rather complementary.
Similar(13)
More data are needed to test the existing relation in numerous conditions.
New results are given which help to clarify the existing relation between these two classes.
Links (edges or arcs) connect nodes to show an existing relation between them.
Similarly, in university-industry-government relations, a strong existing relation between two of the partners can make a difference for the third.
First, we want to make explicit the existing relation between Δ and p t−1,t, as p t − 1, t = ∫ − Δ Δ f t ( x ) dx, (59).
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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