Gal 1:1
(frogjerk) "Nowhere in scripture does it state that another election took place where another man named James replaced James the Apostle. Where in scripture can I find this election?"
(OLD REGGIE) "Where in Scripture do you find the election of Paul?"
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Your reply: "Gal 1:1".
Unless you are claiming the first 12 Apostles were "elected" you cannot claim Paul was "elected"
The first 12 and Paul were personally chosen by Jesus to be Apostles. The "election" of Matthias is the single instance recorded in Scripture wherein an Apostle was "elected" by the remaining Apostles.
Scripture is silent concerning the "appointment" of James, the Lord's brother, as an Apostle.