Use 'mind/watch your language' in situations where polite conversation is expected, like formal meetings or family gatherings. During the dinner with my grandparents, I had to remind my cousin to mind his language.
Pro Tip 2/3
Emotional Charge
'Mind/watch your language' often implies that the speaker is saying something offensive or inappropriate. After he started ranting, his friend intervened, 'Hey, watch your language. There are kids here!'
Pro Tip 3/3
Power Dynamics
The phrase can establish or reinforce authority, like a teacher to a student or a parent to a child. The teacher overheard a rude joke and said sternly, 'Watch your language in my classroom!'