“The term “purgatory” is not found in the Bible; but neither are other such important Christian beliefs such as “Trinity” and “Incarnation.” Do you accept those beliefs?”
The idea of purgatory is wiped away with the death and resurrection of Christ. The Bible is replete, however, with the ideals of the Trinity and the incarnation.
Hardly. In 1 Cor. 15:29-30, Paul mentions people being baptized on behalf of the dead, in the context of atoning for their sins (people are baptized on the deads behalf so the dead can be raised). These people cannot be in heaven because they are still with sin, but they also cannot be in hell because their sins can no longer be atoned for. They are in purgatory. These verses directly correspond to 2 Macc. 12:44-45 which also shows specific prayers for the dead, so that they may be forgiven of their sin.
Similarly, in 2 Tim. 1:16-18, Onesiphorus is dead but Paul asks for mercy on him on that day. Pauls use of that day demonstrates its eschatological usage (see, for example, Rom. 2.5,16; 1 Cor. 1.8; 3.13; 5.5; 2 Cor. 1.14; Phil. 1.6,10; 2.16; 1 Thess. 5.2,4,5,8; 2 Thess. 2.2,3; 2 Tim. 4.8). Of course, there is no need for mercy in heaven, and there is no mercy given in hell. So, where is Onesiphorus? He is in purgatory.
We especially see this in Rev. 21:27 which says that nothing unclean shall enter heaven. The word unclean comes from the Greek word koinon which refers to a spiritual corruption. Even the propensity to sin is spiritually corrupt, or considered unclean, and must be purified before entering heaven.
It is amazing how many Protestants do not want to believe in purgatory. Purgatory exists because of the mercy of God. If there were no purgatory, this would also likely mean no salvation for most people. God is merciful indeed.