"comprises both" is correct and usable in written English.
You can use it when discussing two or more elements that make up a larger whole. For example, "This course comprises both lectures and tutorials."
The genotype of a locus comprises both the maternal and the paternal allele.
Nature comprises both living and non-living elements.
It comprises both data and analysis.
The unitary authority comprises both developed and natural areas.
The Austrian military comprises both land and air forces.
The event now comprises both a free grounds festival and an afternoon stadium show.
The Beacon Cultural Project comprises both commercial and not-for-profit cultural projects.
The interest comprises both the molecular and supramolecular level.
Our evaluation comprises both analytical investigation and experimental validation.
Photosynthesis comprises both light reactions and dark reactions (or Calvin cycle).
The chemical engineering undergraduate curriculum comprises both a technical curriculum and breadth requirements.
