A couple of basic examples of the lack of logic:

Why would the character show up to his executioner work to kill his lover with his own hands when they're clearly fine skipping work other days? After killing her, why wait several months to run away on impulse with no plan, money, or food? Later, while you're running away, why chase after someone who was incredibly rude to you to deliver something they dropped when you literally say you think you're dying? You might think, oh he's a s*ave in a world with magic, so maybe he was compelled with magic... but no, there's no mention of that, and the fact that he can run away at all is pretty compelling evidence that's not the case.

Most annoying feature of the whole web novel:

The main character feels the compulsive need to say random things to his dead lover in his mind every few paragraphs, because heaven forbid you forget how sad their life has been.

Also, if like me, you read the description and thought maybe the main character absorbed skills or something from the people he's been forced to kill and was on his way to being OP--prepare for a letdown. The only things he has going for him are he's physically strong from normal body training and he can cast one magic passed down by executioners.