There are two very different implementations of non-passively crossovered speakers.
- Active-crossovered speakers like @phusis discussed necessitate each driver be individually amplified and controlled by a line-level crossover, which may be either digital (and usually implementing some sort of DSP), or analog (e g. Linkwitz). Although passive crossovers are eliminated, this type of setup is going to require intentionality and be more complex / costly than the same, passive-crossovered speakers. A pair of 3-way speakers will require at the very least three stereo amps or six monoblocks and one active crossover. 4-way will require 8 monoblocks, etc. The system will require a fair amount of design and setup work and the attendent skills. Reliability shouldn't be any more of an issue than with any other electronics. But an active-crossovered system will surely sound better than the same, passive-crossovered one - quite a bit better; but there probably are better choices for folks who value tried-and-true simplicity
- Active speakers are entirely different. They too feature individual driver amplification and a line level digital crossover and DSP (I'm not aware of any analog active speakers), but all the components are integrated in just two, conventional-looking speaker cabinets. All a person need do is plug them in the wall, connect a source, press play, and they're ready to go. All the component matching and integration has already been done and optimized by the manufacturer.
I auditioned Dutch&Dutch 8c, which fall in the latter category, and they sound fantastic. I think they retail for $18K (?), which is actually quite reasonable when you consider that they effectively replace amps, preamp, DAC, and sometimes streamer. These are perfect for folks who desire a streamlined system of the highest quality, but prize convenience over control.
These are only broad outlines. There are multiple other considerations, of which there are pros and cons of course 🙂