catch a wobbuffet in the safari zone (this is very important) because you must use it to weaken latios with it. Train it to a high level if you thought it was too weak to battle latios. pack some good pokeballs. fly to lilycove city (if youre already in lilycove, you still need to fly). go to the tall grass to find it. run when you see other Pokemon or it will make your hp low and there a long time to find latios. if you don't find it, FLY back to lilycove's Pokemon center (you must use fly!!). then go to the tall grass to search again. keep repeating this until you found it. then use wobbuffet to battle to prevent it to flee. be careful don't kill it! its some kinda medium leveled Pokemon.
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only Latios and latias can flee from battles plus the randomly appear making them almost immpossible to catch. they can be caught beforew the elite four
the only way to catch mew is to defeat the elite four
If you saw the news on latios/latias that means you have already defeated the elite four and now you can catch the latis, you can still beat the elite four if you want but for fun catch the latis then destroy the elite four with them.
nope ive tried it did not work
Yes, you can. You just have to be lucky enough to find one. I found a shiny Swablu and now I have a shiny Altaria. I found my shiny Pokemon way before beating the elite four.