I got rid of my daughter's around the same age at 18mo. I use to run a very large daycare with 300 kids. We had soooo many kids past a 1 1/2 years with pacifiers and it was soooo fustrating. Most the kids wouldn't talk to their ability because it was in their mouth. Other kids wanted to take it etc... Plus it's just not plain good for them.
I tried the cold shoulder or cutting the tips but that didn't work for us. The tip cutting my daughter would still suck on it. So this is what we did.....
I took all the pacis we had. I let her keep her "favorite" one. And we went to Grapevine Mills Mall. Once we got there I through away all the pacis except her favorite. So I wouldn't be tempted to take them out of the trash at my house. And we went to buildabear. I let her pick out whatever animal she wanted (she wanted Elmo). And when they stuffed Elmo and put the heart in I had her put her paci in. They stitched up Elmo (they put the paci in the front by the belly). She could feel the paci in the front. And we said uh oo. Elmo ate your paci. She giggled. That night she cried and we reminded her it was in Elmo's belly. She lightly cried for two nights and that was it! No more
Now she is 6 and anytime she sees her Elmo she will say Elmo why did you eat my paci? To me spending $30 on the bear was worth my child talking and having good teeth with no lsyp. It's crazy to see 3, 4 and 5 yo with pacis at that point who is in control the child or the parent? It becomes a comfort for both of them. The parent giving into the child. At 2 they don't need one either. They can comprehend that it is time to say goodbye.
HTH
E.