The phrase "a complex relationship of" is correct and usable in written English.
It can be used to describe intricate connections or interactions between different elements, concepts, or entities.
Example: "The study explores a complex relationship of social, economic, and environmental factors that influence urban development."
Alternatives: "a multifaceted connection of" or "an intricate association of".
There is a complex relationship of mutual antagonism and mutual dependency here.
Shivaji's early successes were built on a complex relationship of mixed negotiation and conflict with the ʿĀdil Shāhīs on the one hand and the Mughals on the other.
A complex relationship of issues are highlighted by the voices these campaigns give a platform to and it is up to politicians to untangle these and target each of them in turn.
A complex relationship of the pulley system must work in harmony to ensure the integrity of the entire system.
While on the surface The Climate Corporation seems like a weather insurance company, CEO and former Googler Dave Friedberg explains (video above) that it is actually a big data play, using a complex relationship of data sources and machine learning algorithms in order to predict the weather and other agribusiness conditions.
Such a complex relationship, of variables which are themselves evolving and multidimensional, yielded a range of important results that will affect several assumptions within the field.
The weights used to define subset similarity have a complex relationship to the performance of the strict hierarchical clustering algorithm.
However, the lack of GFP accumulation in an HD mouse model (R6/2) crossed to our GFPμ mice may be indicative of a complex relationship between overexpression of mutant polyglutamine proteins and UPS function [40].
Clearly, there is a complex relationship between efficiency of feedstock utilization and pre-treatment.
Our results confirmed the presence of a complex relationship between carbon dioxide emissions, rule of law index, and income per capita in a set of panel data.
Abortion and contraception have a complex relationship during the process of demographic change.
