Elimination is a feature of many voting methods, most commonly RCV, in which some candidate(s) are removed from the election, usually permanently (i.e. they lose).
It should be noted that usually elimination means that the voting method's functioning after eliminating a candidate can be evaluated identically to an election under that voting method where said candidate had never run. For example:
3 A>B 48 B 49 C
If A is eliminated, then B wins in any elimination-based method passing the majority criterion. This is because if A hadn't run at all, then the the election would've been
51 B 49 C
and B would've been preferred as 1st choice by 51 of the 100 voters.