Hey there Confused
Conventions are big giant meetings. People have a whole bunch of back to back meetings, speakers, lunches and so on. The one here in Vegas is in November and it includes both AA and al-anon at the same time. The smaller conventions only last one day, the bigger ones go all weekend.
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The best place to find out about conventions in your area is at meetings of al-anon. They have flyers for all the conventions right on the literature table, and you can ask people which ones they like. I love going to them, it's like a big party but without the booze and drugs.
Mike