Answer:
Without the ketchup is the relative clause.
You know that because if you take it out of the sentence, the sentence still makes sense.
It's an infinitive, to + verb....
Explanation: Because their lazy as heck
Run-on sentences make text more difficult to read.
Run-on sentences can change the intended meaning of a text.
Run-on sentences can make a sentence confusing.
Overall, run-on sentences are just a bad idea.