"All conditioned things are impermanent"; when one sees this wisdom, one turns away from suffering. This is the path to purification.
Sabbe saṅkhārā aniccā'ti yadā paññāya passati atha nibbindati dukkhe esa maggo visuddhiyā.
Hatred is, indeed, never appeased by hatred in this world. It is appeased by loving-kindness. This is an ancient law.
Na hi verena verāni sammantīdha kudācanaṃ averena ca sammanti esa dhammo sanantano.