What is the difference between deny and refuse ?Feel free to just provide example sentences.

deny can be used in a few different ways
deny a request:
My company denied my request for a transfer.
deny an accusation:
He denied that he had any part in the crime.
MJ denied all of the accusations of molestation.

The above are more formal uses, but in casual situations we often use it like:
You can't deny you wouldn't have sex with her if you could.

refuse, on the other hand, is used for offers mostly
Examples:
It was a really good offer, so it was hard to refuse.
He said he would buy me ice cream after, so I couldn't refuse.
Also, you can refuse to tell someone something
She refused to tell me why she wanted to break up.
Or likewise refuse to do something
They refused to give me my money back, even though I had the receipt.

Hope this helps!