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I can't do much in my Sapphire version either, but I used to mass-capture Dusclops at the Sky Tower at Lv. 50, mind you and trade them over to Platinum, then trade them over to Heart Gold so I could put them up on GTS holding a Reaper Cloth collected from Poké Walker sessions for egregious requests that would help me complete my Pokédex.
I'm waiting for opportunities to do the same thing with different Pokémon. My business may hit a peak if Dusknoir gets a Mega evo.