I haven't met this problem myself but I do have some which are bare legged at the base as they are group 1s which are only pruned back if they get untidy and their flowers and foliage tend to be concentrated higher up. Clematis are very hungry plants so maybe yours are just concentrating energy higher up. Give them a generous handful of a general feed of blood, fish and bone in late winter or as soon ans new shoots show and then add special clematis or rose food at regular intervals until flowering time or mid July, whichever is later.
Add a mulch of well rotted garden compost or spent planting compost in late autumn and plant something in front to hide the unsightly bits.