Trunck latch release mechanism not working

I have a 2009 Corolla on which the trunk latch release lever on the driver sied floor is nto working. We verified that when the lever is raised, the cable going back to the trunk and ending in a small ball is moving alright. Thecable housing this is also in palce in the groove provided in the mechanism. The problem is that there is no movement of a rod that extends from the mechanicm to the release "black box". Any suggestions to fix this, please?
I am having the same problem. Corolla 2012 le. trunk lock assembly Part number 64600-12031 (they claim that is the part picture)is broken. Replacement looks easy how ever I nee to replace my cable also. How does one replace the cable?