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The phrase 'had a direct relation with' is correct and usable in written English.
You can use this phrase to describe a situation in which two or more things are related in a direct and exact way. For example, "The development of the new technology had a direct relation with the success of the company."
Exact(4)
Flash point and viscosity of engine oil had a direct relation with the concentration of nanoparticles.
"Maybe in that game he played 10 or 15 minutes more than planned but I don't think that had a direct relation with his injury.
Model 3 also indicated that stress management had a direct relation with depression.
The variable 'intracranial lesions' had a direct relation with the variable 'fracture skull' and the variable 'seizure'seizure
Similar(55)
Moreover, reorder point has a direct relation with service level.
In addition, price of electricity has a direct relation with the minimum quota.
On the other hand, water flow rate has a direct relation with concentrate grade.
In addition, the reorder point has a direct relation with the service level.
The kinetic model showed that uranium recovery has a direct relation with ferric ion concentration.
Emulsified asphalt content has a direct relation with IDT at low temperature.
Hence, in [23], it was proven that the concept of majorization has a direct relation with the greedy method.
More suggestions(2)
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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