• abhipretya — recognizing / understanding
  Gerund of abhi-pra-√i. Not just visual recognition — recognizing who has arrived. The sages know they are receiving Saṅkarṣaṇa, not merely a Yadu prince.
• dīrgha-satriṇaḥ — performers of a long sacrifice
  Dīrgha (long) + satrin (sacrificer in a satra). They are in a sustained yajña — exactly the context that will then make Romaharṣaṇa's seated posture significant under śāstra.
• abhinandya — having greeted with joy
  Gerund of abhi-√nand (to rejoice). The greeting is suffused with joy, not just protocol. Vaiṣṇavas greet Vaiṣṇavas with internal ānanda; the sages here demonstrate that paramparā.
• praṇamya — having bowed down
  Gerund of pra-√nam. Daṇḍavat-praṇāma — the standard Vaiṣṇava prostration. The sages enact precisely the protocol that Romaharṣaṇa is about to omit.
• ārcayan — they worshiped
  Imperfect 3pl of √arc. To offer arcana. Even mid-satra the sages pause to perform arcana for the Lord — establishing that arcana of a Vaiṣṇava is not a break from yajña but its completion.

The sages, mid-yajña, see Balarāma arrive and rise as one — like reeds bending together when a single wind passes. Proper greeting is itself a Vedic limb of the rite; their standing up is not interruption but continuation of the sacrifice, now offered to the Yajña-puruṣa Himself.