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"analyzing the relationship between" is a grammatically correct phrase and can be used in written English.
It is often used when discussing the connection or correlation between two or more things. Here is an example: "In my research paper, I will be analyzing the relationship between social media usage and mental health in teenagers."
Exact(60)
Analyzing the relationship between "American Idol" and Ford.
"We spend our time," she said, "analyzing the relationship between the factors in our model and the stock market".
Sherman is rigorous when analyzing the relationship between Stoic philosophy and military culture.
In the oil shortages of the 1970's, Mr. Williams was active in analyzing the relationship between energy and economic trends.
For one, a group of young scientists has pioneered more sophisticated ways of analyzing the relationship between agriculture and climate.
Correlation is another effective tool for analyzing the relationship between objectives.
This study aims at analyzing the relationship between income and BMI.
Which is used for analyzing the relationship between grasping forces and the cable driving force.
Analyzing the relationship between species and environment is always a focal question of ecological research.
Correlation and ANOVA are used for analyzing the relationship between the GDP and selected economic variables.
Diitu's core technology is a search engine that aggregates photos by analyzing the relationship between photos and the people who took them.
More suggestions(20)
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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