"projected to continue" is correct and usable in written English.
For example, "The current trend of increasing sales is projected to continue through 2021."
The student population is declining and projected to continue doing so over the next decade.
Vote counting is projected to continue for days.
These trends are projected to continue for the foreseen future (Reed and Dongarra, 2015) [1].
Air travel is projected to continue to increase in the EU for the foreseeable future.
The population of the state is projected to continue to grow.
The decline in elementary school populations is projected to continue through 2006.
It is projected to continue declining over the next 10 years.
More importantly, the UK population is projected to continue growing, reaching almost 73 million by 2041.
In the U.S., oil and gas development is projected to continue across western states within sage-grouse habitat.
The industry, valued at almost £200 million, is projected to continue grow at a healthy 15 per cent each year.
Birthrates in England and Wales have been rising since 2002 and are projected to continue doing so until 2014.
