The phrase "a continued line of" is correct and usable in written English.
It can be used to describe an ongoing sequence or series of something, often in a metaphorical or literal sense.
Example: "The artist's work reflects a continued line of innovation that has influenced many contemporary creators."
Alternatives: "an ongoing series of" or "a sustained thread of".
While he accidentally inspired numerous materialists (and was simultaneously claimed by the idealists), his strong association with certain traditionalist preachers, on the one hand, and liberal theological movements, on the other, blunted his interest for the philosophical revolutionaries of the twentieth century, while simultaneously preserving a continued line of subterranean influence.
Poniewozik praised the "ultra-deadpan" pairing of Andy and April, which he said was another in a continued line of "interesting combinations for its side players".
Obama, speaking from the White House, called for a review of the use of military equipment by local police forces, warning that a continued blurring of the lines between military and local law enforcement would be "contrary to our traditions".
It is hard to imagine that anyone's bottom line would be a continued administration of the nation's intelligence agencies by George Tenet.
Next up for SC Johnson is a continued rollout of fragrance disclosures across its US product lines and, next month, the launch of its ingredient disclosure program in Europe.
Even in the presence of endocrine resistance, a continued role of ER signaling is suggested by several lines of clinical and preclinical evidence.
That forecast — the first formally issued by the Fed in line with its effort to be more transparent — was released the same day that the Census Bureau reported a continued slowing of housing starts.
The magma chamber is schematically shown by continued lines.
A continued surveillance of the dental epidemiological status is necessary.
For example, neutral trajectories could reflect a continued negative path or a continued pattern of positive and negative (mixed) experiences.
A continued follow-up of this cohort may clarify this.
