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 he called for lights and sprang in, and, trembling for fear, fell down before Paul and Silas,
Acts 16:30 and brought them out and said, Sirs, what must I do to 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 spake the word of the Lord unto him, with all that were in his house.
Acts 16:33 And he took them the same hour of the night, and washed their stripes; and was baptized, he and all his, immediately.
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 brought them out and said Sirs..." into verse 32's "And they spake the word of the...", 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.