Hortica said: Yeah, both Stromanthe and Ctenanthe do this.
In nature the whole plant becomes a mass of tall stems; some flop over and root into the soil. If you want to cut them off it won't hurt them, and they root easily in water (I would leave them). If you want to cut off the long shoots, do it at the base, then trim the top just below the fan of leaves, and stick them in a cup of water. They root fast.
It looks like yours have suffered a little water stress; you may need to water and feed more often.