Translation:The father explains that he is alive.
Normally, I'd agree, but in this context that sounds a bit weird to me. However, I fully agree with that when it comes to sentences like "I know you're lying to me"/"I know that you're lying to me" and "He believes he can fly"/"He believes that he can fly". "He explains he is alive"… I don't know. Maybe they just don't talk like that in my region.