Which of the following phage types cause productive infections that do not kill the host cell?

Step 3: Temperate phages can integrate into the host genome and enter a lysogenic cycle, where they do not produce new phages immediately and do not kill the host cell during lysogeny; however, when they enter the lytic cycle, they do cause host cell death.

Step 4: Retroviruses are not phages; they infect eukaryotic cells and integrate into the host genome, but this is outside the scope of phage biology.