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"vastly complex" is a correct and usable phrase in written English.
It is typically used to describe something that is extremely intricate, convoluted, or difficult to understand. It can be used in a variety of contexts, such as describing a problem, a system, or a concept. Example: "The process of genetic inheritance is vastly complex, involving numerous factors and mechanisms that are still being studied by scientists."
Exact(44)
The underground accelerator, the Large Hadron Collider, is vast and vastly complex.
There's a lot more to Davis's vastly complex aesthetic psychology and artistic transformations and conflicts.
"Oh, he was very, very Shakespearean – huge in every sense, and vastly complex.
It continues to make too many vastly complex laws instead of making existing laws work in practice.
Gradually, the reader realises that this almost folksy travelogue is in fact a vastly complex rumination on ruination and transience.
Which is why this vastly complex piece is also completely clear in its structure and in its extreme states of expressive character.
Similar(15)
The porosity of carbonates as compared to sandstones is vastly more complex with simple intergrain porosity dominates sandstones while carbonates commonly exhibit complex secondary pore systems that may evolve during burial.
This makes logistics vastly more complex.
The western front is vastly more complex.
Contemporary mortgage finance is also vastly more complex.
In the last 40 years, the world has become vastly more complex, vastly more populous and vastly more intedependent.
Related(20)
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vastly wealthy
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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