The Collaborative International Dictionary of English v.0.48:

Disinvolve \Dis`in*volve"\, v. t.
   To uncover; to unfold or unroll; to disentangle. [R.] --Dr.
   H. More.
   [1913 Webster]

WordNet (r) 3.0 (2006):

disinvolve
    v 1: free from involvement or entanglement; "How can I
         disentangle myself from her personal affairs?" [syn:
         disinvolve, disembroil, disentangle]

Moby Thesaurus II by Grady Ward, 1.0:

37 Moby Thesaurus words for "disinvolve":
   break loose, break out, clarify, clear, clear up, cut loose,
   disburden, disembarrass, disembroil, disencumber, disengage,
   disentangle, disintricate, dislodge, extricate, free, free up,
   get out, liberate, ravel, release, sort out, tear loose, unbraid,
   unclutter, uncoil, unknot, unmix, unravel, unscramble, unsnarl,
   untangle, unthread, untwine, untwist, unweave, unwind