What you are looking for is on page 16 of the v2.0 rulebook:
A few conjurations target an object instead. These spells are attached to the target object, and move with it if it is moved. If the arget object is destroyed or teleports away, the conjuration is removed and destroyed. An object may never have multiple conjurations with the same name attached to it.
Thus, if the object simply moved, or was moved, to a different zone, the conjuration would actually travel with it (not a possibility with either tanglevine or quicksand). However, teleport is specified as removing and thereby destroying the conjuration.