to add to Chiroptera's comments
I do not agree that sexual selection is an "element" of natural selection, but I'll defer on that issue. I suppose, then, that everything that reproduces is evolving. Makes me wonder how there are any species at all.
If natural selection only applies to relative survival ability then you could have a condition where some individuals survive better than other individuals, but don't reproduce. As such their genes are not passed on to the next generation and there is no effective difference due to their improved survival. Reproduction is necessary to complete the process of natural selection, and that means that sexual selection must be included. Consider that this is why ignorant brutish "cool" people continue to reproduce.
But wait, doesn't natural selection, in Darwinian terms, amount to evolution?
{Mutation = variations on a theme} + {natural selection = choosing which variations are best fit to survive & reproduce} = evolution.
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