Karika 42

पुरुषार्थहेतुकमिदं निमित्तनैमित्तिकप्रसङ्गेन। प्रकृतेर्विभुत्वयोगान्नटवद् व्यवतिष्ठते लिङ्गम् ॥४२॥

In union with material universe (prakr̥teḥ) the physical body displays lordship and acts in different roles for the sake of Purusha, driven by the instrumental and special causes.

The union of the purusha with the prakr̥ti causes physical body is implicit.