Final answer:
The infectious cycles of enveloped animal viruses and temperate bacteriophages are similar in that the infected cell can survive for a long time due to the viral genome integrating into the host's genome or remaining latent.
Step-by-step explanation:
The infectious cycles of enveloped animal viruses and temperate bacteriophages are most similar because the infected cell may live for a long time. This is seen in the lysogenic cycle of temperate bacteriophages where the viral DNA integrates into the bacterial genome, allowing the cell to survive and reproduce normally until an environmental trigger induces the release of new virus particles. Similarly, some animal viruses, like herpesviruses, can remain latent in the host cells for extended periods before reactivating.