The conditions mean that it is only a temporary green card basically, and we have to apply to make it a permanent one. It is because we weren't married long enough yet when we applied for it, we had to be married 2 years at the time we applied (summer of 04) but that could well have changed. We had only been married a year and a half when filing. So we have to fill out and send in some paperwork to prove he's still here, still working, not being a public nuisance, and they'll want to know if we are still married as well. Things like that. I assume he'll have to get a new actual card, as his current green card says it expires 2 years after his arrival, which is this October.
From what I gather, this 'removing conditions' process can take years? They just keep giving you a year more on the card until they can sort themselves out. Again that might have changed, and I hope so, but we'll see. I'll be getting the paperwork in the next week or two and will be writing about it all here...