Generally speaking, these types of speakers are frowned upon.
Many will say it is because subwoofer placement in a room is difficult. You can end up with a boomy sound you don't like, or weak bass which you aren't happy with. I have no problem with this as a concept.
As well, a major issue that I've seen, dozens of times, is that the amplifier in these speakers breaks. It overheats, or whatever, and no longer works. This puts a high dollar repair out there as a requirement to get your speakers up and running. A major issue if the speaker is discontinued or the amplifier is no longer manufactured. Yes, I've seen this as well. All with Definitive Technology speakers.
IMO, it is money MUCH better spent by getting high quality passive speakers around the room, then pair it with excellent subwoofers which can be placed where they are supposed to go into the room. The money spent will not be wasted on high dollar subwoofers from a company that may or may not be doing justice to the bass needs in your room. And you get a subwoofer that is designed from the ground up from a company that really knows their subwoofers.
This doesn't mean that Golden Ear, or Def Tech don't make quality speakers. It just means that I would avoid the speakers with subwoofers in favor of their long line of other models which are available which should perform just as well without the headache of the integrated sub.