Complex sentence: From the early 1960s onwards, the DLP also became strong opponents of "permissiveness", campaigning on issues such as homosexuality, abortion and pornography and drugs, which appealed to many conservative voters as well as the party's base among Catholics.
Split into simpler sentences: From the early 1960s onwards, the DLP became increasingly socially conservative, opposing homosexuality, abortion and pornography and drugs. This stand against "permissiveness" appealed to many conservative voters as well as the party's base among Catholics.