Life goes on even if you are rejected by your boyfriend or girlfriend. He is trying to say that there is more to life than your relationships with people.
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There is 2 meanings of soliloquy in English.
A soliloquy is: an act of speaking one's thought aloud when by oneself or regardless of any hearers, especially by a character in a play.
Soliloquy is a device often used in drama when a character speaks to himself or herself, relating thoughts and feelings, thereby also sharing them with the audience, giving off the illusion of being a series of unspoken reflections.