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The phrase "the complex relationship" is correct and usable in written English.
It can be used when discussing intricate or multifaceted connections between two or more entities, such as people, concepts, or systems.
Example: "The complex relationship between climate change and economic growth requires careful analysis and consideration."
Alternatives: "the intricate connection" or "the complicated association".
Exact(59)
A tagline reads, "Documenting the Complex Relationship Between Humans & Psychoactives".
An opportunity to reflect on the complex relationship between architecture and real estate.
That attitude reveals the complex relationship that these families have with their adopted country.
Articles also captured the complex relationship of religious literalism in the United States with science.
My doctoral research at Durham University focuses on the complex relationship between the church and rights.
But too much about the complex relationship between faith and politics was left unarticulated.
This week, we consider from many sides the complex relationship between the U.S. and China.
Ms. Shirreff is making a clever point about the complex relationship among earthworks, photography and tourism.
The complex relationship between Al Shabab and the pirates is poorly understood in the West.
The complex relationship between tourism and development is at the fore in 2015.
Sunday, you see, brought the latest chapter in the complex relationship between Köln mascot Hennes VIII and striker Anthony Ujah.
More suggestions(17)
the complex link
the knotty relationship
the complex partnership
the problematic relationship
the complex linkage
the complex connection
the difficult relationship
the intricate relationship
the complex interplay
the multifaceted relationship
the sophisticated relationship
the complex rapport
the complex correlation
the complex interactions
the complex links
the complex connections
the complicate relationship
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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