Complex sentence: Generally these small enterprises are run "off-the-radar", "i.e.," illegally, however, they are unofficially tolerated-most probably because they offer up some of the best and most authentic Cuban cuisine available on the island.
Split into simpler sentences: Generally these small enterprises are run "off-the-radar", i.e. illegally. However, they are unofficially tolerated, most probably because they offer up some of the best and most authentic Cuban cuisine available on the island.