Passage
And they said, Believe on the Lord Jesus and thou shalt be saved, thou and thy house.
And they said, Believe on the Lord Jesus and thou shalt be saved, thou and thy house.
Acts 16:29 And having asked for lights, he rushed in, and, trembling, fell down before Paul and Silas.
Acts 16:30 And leading them out said, Sirs, what must I do that I may be saved?
Acts 16:31 And they said, Believe on the Lord Jesus and thou shalt be saved, thou and thy house.
Acts 16:32 And they spoke to him the word of the Lord, with all that were in his house.
Acts 16:33 And he took them the same hour of the night and washed [them] from their stripes; and was baptised, he and all his straightway.
The verse centers on "saved", "said", "believe", "lord", "jesus", "thou", and "shalt". It is saying that the verse draws attention to "saved" and "said", so its meaning should be read from those terms before moving to application.
The nearby context moves from verse 30's "And leading them out said Sirs what..." into verse 32's "And they spoke to him the word...", so "saved" and "said" belong inside that flow. In Acts context, the local focus is Christ, faith, and discipleship.
A plain takeaway is to answer the verse's own emphasis on "saved" and "said" with trust shaped by these words, not by a vague optimism outside the passage.