NASHVILLE, Tenn.—Country star Dolly Parton said her brother Randy Parton, who sang and performed with her, as well as at her Dollywood theme park, has died. He was 67. Parton, who turned 75 this week, said in a statement released on Thursday that her brother died of cancer. They were among 12 children in the Parton family, raised in Sevierville, Tennessee. “We are a family of faith and we believe that he is safe with God and that he is joined by members of the family that have gone on before and have welcomed him with joy and open arms,” Parton said in a statement. Randy Parton sang, played guitar and bass in his sister’s band, and had hosted his own show at the Tennessee theme park since the opening in 1986. He also released music on his own. Parton said her duet with him on “Old Flames Can’t Hold …