this does sound as if the cable is broken,and it will need to be replaced
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Important: The shift cable is a two piece shift cable.
The front half (column end) or rear half (transmission end) of the shift cable can be removed without removing the other end/half of the shift cable.Perform the part of this procedure that applies to the removal of that half of the shift cable.Removal Procedure
Installation Procedure Important: The shift cable is a two piece shift cable.The front or rear half of the shift cable can be removed without removing the other half.Perform the installation procedure that applies to the installation of that half of the shift cable.