Final answer:
The question pertains to lines from literature where characters are inviting others to social gatherings, commonly used as a device to advance the plot and develop characters.
Step-by-step explanation:
The sentences provided are excerpts from different contexts where characters are inviting or gently persuading others to join a social gathering or to have a conversation. These lines are typical of dialogues found in literature, showcasing interpersonal dynamics, emotional responses, and character development. The usage is reflective of everyday English, emphasizing the use of casual invitations as a literary device to move the plot forward or to reveal character traits.