In many manhwas, characters who have faced loneliness or trauma might need love to heal and find a sense of belonging. However, it can vary greatly depending on the story's theme and plot. Sometimes, love might not even be the main focus.
It might include scenes that establish the theme and tone of the entire manhwa. Perhaps it gives a glimpse into the girl's desires or aspirations that drive the plot forward.
I'm not sure who invited you in manhwa 32. It might be a plot twist and we'll only find out as the story progresses. Maybe it was someone we least expected!
I have no clue who invited you in that particular part of the manhwa. It could be a new character introduced just for this twist or an old acquaintance with a hidden agenda.
Hard to say exactly who invited you in manhwa 37. It could have been a friend or an unexpected ally. Maybe you need to re-read that part to figure it out.