This problem can be at both side,the tape lifting off your head, but still attached to the lace, or it is the lace lifting off of the tape and the tape still attached to your head .The hair replacement tape will lifting after 2 days.
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How to made the hair system tape hold longer?
The solution for this is use glue with tape., you can use Ultra Hold or any other hair system glue ,just apply one light coat of ultra hold to your scalp.
Try to apply it with a Popsicle stick then throw it away. While its drying apply the tape to your piece, once the Ultra Hold or any other hair system glue is dry ,put the piece on. You should get a week at least with no lift. This is the cheapest and easier way you can get an extra hold from you hair system tape.