This sentence uses contrast, comparing hate to eternity.
We hope to fly in the sky, like two birds, with the same wing; We hope to grow together on the ground, like two branches of a tree. -Tang Juyi's "Song of Eternal Sorrow" Two people are willing to be a pair of birds flying together in the sky; I want to be two branches that grow together on the ground.
As a metaphor, this sentence compares them to birds and branches.