The phrase "a term that covers" is correct and usable in written English.
It can be used when defining or explaining a concept that encompasses a broader category or idea.
Example: "The term 'sustainability' is a term that covers various practices aimed at preserving the environment for future generations."
Alternatives: "a phrase that encompasses" or "a term that includes".
"Extrajudicial" is a term that covers most of what judges do when they are not judging.
It's a term that covers using financial resources to generate both financial returns and social benefits.
In 2009 David Bahati, an MP, introduced a bill which would have imposed the death penalty in cases of "aggravated homosexuality", a term that covers gay sex with people under 18 and people with disabilities or HIV.
The prosecutor's office did not feel that an accusation of molestation — a term that covers a wide range of offenses under Swedish law, including inappropriate physical contact with another adult — was enough to justify an arrest warrant, Mrs. Rosander said.
As part of the license agreement with the Chinese government, Christie's agreed not to sell any "cultural relics," a term that covers art works or other objects dated before 1949 when the Communist Party took power.
The 'dark arts' "This debate is about phone hacking – a term that covers a multitude of sins: tapping a phone call or line; hacking into a phone's operating systems so as to be able to access emails, texts, messages.
The contemporary name was "French chair," a term that covered a variety of designs, the most elaborate based on French Rococo chairs of the Louis XV period.
"Folk" was a term that covered anyone from traditionalists to hippy-era singer-songwriters, and Harper came firmly from the latter group.
The women have pledged to continue their demonstration for 10 months and 10 days, traditionally reckoned in Japan as a full term that covers a pregnancy.
But a single account can be an umbrella term that covers a very large agency nearly all of NIH's $31 billion budget is appropriated to one account, for instance—or a definition that covers something smaller, such as a single program, project, or activity.
Big data is an ugly term that covers a multitude of activities.
