"continues to constitute" is a correct and usable phrase in written English.
It can be used when describing a situation or circumstance that is ongoing and has not changed. Here is an example: "The controversy surrounding the new law continues to constitute a major point of concern for citizens and lawmakers alike."
Oxygen continues to constitute only 20.94 percent of the total gas present.
It also claims that "the situation in Sudan continues to constitute a threat to international peace and security".
In the Roman Catholic church the spiritual relationship established between the sponsor and the baptized, and the sponsors and the parents of the baptized, continues to constitute an impediment to marriage.
For the purposes of parliamentary sovereignty, the Parliament of the United Kingdom at Westminster continues to constitute the supreme legislature of Scotland.
And if Wolf Blitzer and Brian Williams and lots of other 'serious' journalists want to pretend, day after day, that Jackson's June death continues to constitute breaking news, than that's their problem.
Diagnosis of latent tuberculosis (TB) infection continues to constitute a major problem for control of the TB epidemic.
Through the ensuing centuries, such works continued to constitute a primary activity for the community of litterateurs.
Four of the seven sitting judges on the Court of Appeals were named by Mr. Pataki, and, barring unforeseen events, they would continue to constitute a majority through 2014.
The indigenous inhabitants of the Nicobar Islands, the Nicobarese (including the related Shompen), continued to constitute the majority of the population of the Nicobars in the early 21st century.
Although this proportion shrank over the next few decades, African Americans continued to constitute the majority of D.C.'s population into the early 2000s.
