You don't. Moltres, Zapdos and Articuno are not in this pokemon generation.
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I don't now but I believe that you can catch as many as you want when you encounter them.
all i know is how to get the regis and latios or latias.
just using a cheat. haha
rayquza. He's in the sky pillar
Yes, You can catch Groudon in Pokemon Emerald.