The two have quite a lot in common. Much like Kenny, Lizzy wears a parka and has a sexually advanced vocabulary, though her speech is dechiperable as opposed to his, since she doesn't use the parka to cover her mouth. She also seemingly dies near the end of "Cartman's Silly Hate Crime 2000" when she is carried away by a bear once her sled crashes during the race, but has been seen alive in later episodes.
However, Lizzy may not care for Kenny, as she shows no sympathy when he dies (though, for the record, nobody really does since it only occurs as a running gag and he is always revived in the following episode) and only views his death as a great opportunity to beat the boys in the sled race.
There are very few fanfictions that include this pairing, but there is a fair amount of fanarts that include it, though it has experienced a decline in popularity in recent years. These characters are also sometimes seen as relatives.
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