Karika 18
जननमरणकरणानां प्रतिनियमादयुगपत्प्रवृत्तेश्च। पुरुषबहुत्वं सिद्धं त्रैगुण्यविपर्ययाच्चैव ॥१८॥
The birth and death of each (person) by law is not simultaneous as its cause is driven by tendencies resulting in deformations of the three qualities. Hence (as it is not simultaneous), the multiplicity of the Purusha is established.
Each individual soul differs from the other as birth and death of individuals do not happen simultaneously.