This is the 364th most frequent Japanese word.
続い
"続い" means "continues" or "to continue" (in its conjugated form).
In this context, '続い' signifies a sustained action or event, such as her speech going on for an extended period.
彼女の話が長く続いたので、少し退屈でした。
Her speech continued for a long time, so it was a bit boring.
Here, '続い' expresses a desire or hope for a current state or experience to persist into the future.
この感動が続いてほしい。
I hope this sense of excitement continues.
The word '続い' here indicates an ongoing state or action that has been persisting for a duration of time.