Liepologize
An act in which one will; 1) lie about apologizing; 2) lie while apologizing, or; 3) simultaneously do both. A highly disingenuous act that is usually relegated to the ranks of American politicians, it has recently crept into the actions/language of the common American citizen.
1) Dave hated Tim passionately, so he actually liepologized when he said that he was sorry for calling him a little twat.
2) Stacy sucked off Denise's boyfriend, but ended up feeling so bad about it, that she liepologized to her by saying that she was sorry, but didn't know he was her boyfriend.
3) After Mike was caught butt-fucking his girlfriend's sister, he liepologized to her by saying that he was sorry she was so hurt, since her sister was obviously getting reamed by some other man that looked exactly like him.
2) Stacy sucked off Denise's boyfriend, but ended up feeling so bad about it, that she liepologized to her by saying that she was sorry, but didn't know he was her boyfriend.
3) After Mike was caught butt-fucking his girlfriend's sister, he liepologized to her by saying that he was sorry she was so hurt, since her sister was obviously getting reamed by some other man that looked exactly like him.