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What kind of phage are you talking about?

A bacteriophage is a virus that eats cells.

A phagocyte is a immune cell that eats bacteria and viruses.

Phage comes from the greek word phageĩn which means to eat.

And if you want to know if viruses are alive I recommend reading the post by @mcfarhat I linked in the text :)

Viruses are the connecting link between living and non-living entities.

They have the properties of both living and non-living things. So they are exception to cell theory