And Paul dwelt two whole years in his own hired house, and received all that came in unto him,
Note 1 at Ac 28:30: These scriptures conclude the narrative of Paul's life without giving us the final chapter. Paul is left in bonds in Rome. However, other scriptures "suggest" that Paul may have been released from prison and continued ministering.
In Ro 15:24 and 28, Paul spoke twice of ministering in Spain. In the light of what Paul said in 2Co 1:16, a very strong argument could be made that he did just that. Early church tradition, from a number of different writers, also states that Paul traveled to Spain and then back to Asia and finally back to Rome. Although these sources disagree and cannot be conclusive, it would seem that if it was common knowledge that Paul died in Rome during this first imprisonment, then any other accounts of his travels would have been discounted by the earliest traditions. Such is not the case.
In Tit 1:5, Paul mentioned leaving Titus in Crete (see note 10 at Ac 27:7). Since there is no record of this in the book of Acts, some have supposed that this took place after the close of the events listed in Acts. Paul also wrote to Philemon that he was expecting to be released soon and asked Philemon to prepare him a lodging (Phm 22).
Early church tradition records Paul as having been beheaded by order of Nero, just a few miles south of Rome. He was supposed to have been buried at Via Ostiensis, where Constantine later erected a church.
The way the book of Acts concludes the life of Paul is really the most fitting way to deal with him. Paul's ministry never did end. He made disciples, not just converts (see note 5 at Mt 28:19), and through his epistles, he ministers to more people today than he ever did in all his missionary travels.
Note 2 at Ac 28:30: These two years in Rome, his two-year imprisonment in Caesarea (Ac 24:27), plus the time it took Paul to travel to Rome bring the total time of this imprisonment to at least five years.