to urge
Parabiazomai describes urging someone to accept an invitation to stay.
The two occurrences show urging a person to accept hospitality and remain: a plural group asks him to stay in Luke 24:29, and an individual presses an invitation to enter and stay in Acts 16:15.
Senses in use
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Pressing an invitation to stay · dominant
In Luke 24:29, the aorist middle plural form occurs as a group asks him to stay because evening has come; the APB renders the clause "And they urged him." In Acts 16:15, the aorist middle singular form accompanies an invitation to enter a house and stay, and the APB adds, "And she prevailed upon us."
In the Anselm Project Bible: The APB presents the action as "urged" in both verses and also describes the invitation in Acts 16:15 as prevailing upon the invited party. These renderings confirm the scene's insistent invitation rather than isolate a precise English equivalent.