The phrase "a question that continues" is correct and usable in written English.
It can be used to refer to a question that remains relevant or unresolved over time.
Example: "The debate over climate change is a question that continues to challenge scientists and policymakers alike."
Alternatives: "an ongoing question" or "a persistent question".
It is a question that continues to resonate.
It is a question that continues to seize many.
It's a question that continues to fascinate scientists, from psychologists to exercise physiologists.
Where exactly Lincoln stood on the issue of race is a question that continues to engage scholars and historians.
Thus 2004 presented the first widespread recognition of a question that continues to haunt the so-called war on terror.
Figuring out how to get children to eat healthy food is a question that continues to perplex researchers and parents alike.
Then Soriano asked a question that continued showing his curiosity as a competitor and how he wants to be grouped as a baseball player.
Writings that ruminate and toy with a question that continued to puzzle the great philosopher's student, Plato, and many, many more after him.
A key question that continues to be debated is whether human cancer xenografts or murine transgenic models best reflect the human disease in terms of biology and predictions of efficacy of therapeutic agents (Becher et al, 2006; Dennis, 2006; Garber, 2006; Sausville et al, 2006; Sharpless and DePinho, 2006).
Although the new novel treats the entirety of Rimbaud's life — it begins with his sour-faced mother reinterring his body in the Charleville cemetery, ten years after his death, and unfolds as a series of flashbacks — its real preoccupation is, inevitably, the question that continues to haunt admirers of Rimbaud.
Ten year after the riots, facing the inevitable question that continues to haunt his government, Mr Vyas puts up a swift defence.
