# profane stories loved by old women
"ungodly stories and old wives' tales." "Profane" here refers to stories that purposely dishonor God.
# loved by old women
This is probably an expression that means "silly" or "absurd." Paul is not purposely insulting women in his reference to "old women." Instead, he and his audience knew that there are more women than men whose minds have become feeble due to old age.
# train yourself in godliness
"train yourself to honor God" or "train yourself to act in ways that please God"
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