"complex types" is a correct and usable phrase in written English.
For example, "A thorough exploration of complex types of social relationships is needed in order to understand them better."
The workplace presents three increasingly complex types of defining moments for individuals, managers, and executives.
Having more complex types of affect permits them to interact with humans in more subtle ways.
For example, each of the Drosophila subunits has several homologs in mammals that assemble to form different PRC1 complex types.
Byzantine hymnody developed complex types such as the kanōn and kontakion (see also Byzantine chant).
In such huge sand areas as the Rubʿ al-Khali, the evolution of dune forms can be traced from simple dunes into the more complex types.
And some of the most complex types of animation equations describe fluid motion: anything from lava flow to an explosion to the rise and disappearance of smoke rings.
Other rules include a ban on prepayment penalties for people with adjustable-rate and other more complex types of mortgages.
The technique can also be used for formulation of semirigorous procedures for general arrangements of more complex types of equipment.
Design is one of the most complex types of problem solving that involves several aspects and components.
The slender, complex types of armour units, such as Tetrapods and Dolosse are widely used for rubble mound breakwaters.
As a result, the hand-assisted technique has gained acceptance for these relatively complex types of colorectal surgery.
