One of the transactions was broadcasted 14 days ago and the other one was broadcasted 13 days and 20 hours ago.

Some nodes have already dropped the transaction that was broadcasted 14 days ago from their mempool and they will drop the other transaction in the next hours.
Gradually, more and more nodes will drop your transactions from their mempool.

Take note that the 14 days is the default setting and nodes are free to change that. Therefore, it's possible that those transactions are shown by some block explorers for more days.
There will be probably some block explorers that will still show those transaction even after a month, unless a new transaction invalidate them.