I distinctly remember that my confessor says "I absolve your sin".
There is nothing wrong with that. He has the scriptural authority to do so, see John 20:23.
"I distinctly remember that my confessor says "I absolve your sin"."
Yes, "Absolvo te". I trust you didn't take my comments as a slap at the Latin form of absolution. I suspect you will find that it is said with the same meaning as in the Orthodox absolution. I could be wrong, though, and this might then be an example of the created vs. uncreated grace differences between the Latin and Eastern Churches.