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The phrase "the association between" is both correct and usable in written English.
You can use this phrase when you are referring to two things which are connected. For example, "There is an important association between exercise and good health."
Dictionary
the association between
noun
The act of associating.
Exact(60)
The association between Mr. Obama and Mr. McCain is different.
The association between Lyndon Johnson and Hubert Humphrey ended in sadness.
The association between Byron and Rogers is well-documented.
"The association between inequality and violence is strong and consistent.
What is the association between healthy teeth and vanity?
The association between the two is not just Pavlovian.
The association between them is expected.
Our observations confirm the association between SN 1998bw and GRB980425.
Furthermore, we studied the association between dysnatremia and mortality.
First, we explored the association between TEs and CIs.
Fig. 4 The association between the microbiomes and the UACR.
More suggestions(16)
the chairman between
the associate between
the fellowship between
the committee between
the division between
the partnerships between
the associations between
the relations between
the lawyers between
the conflict between
the interoperability between
the part between
the gulf between
the connection between
the week between
the relationship between
Write better and faster with AI suggestions while staying true to your unique style.
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