Analysis of information sources in references of the Wikipedia article "Christian views on marriage" in English language version.
The Catholic Church considers marriages of baptized Protestants to be valid marriages. So if two Lutherans marry in the Lutheran Church in the presence of a Lutheran minister, the Catholic Church recognizes this as a valid sacrament of marriage.
If the wedding is celebrated in the Catholic Church, the priest presides, and a non-Catholic minister can offer prayers and ask a blessing on the couple. If the wedding takes place in a non-Catholic church, the minister presides, and a priest/deacon may be present to offer a prayer and blessing.
Supernatural marriages exist only between baptized people, so marriages between two Jews or two Muslims are only natural marriages. Assuming no impediments, marriages between Jews or Muslims would be valid natural marriages. Marriages between two Protestants or two Eastern Orthodox also would be valid, presuming no impediments, but these would be supernatural (sacramental) marriages and thus indissoluble.
(7.14) Do not these objects appear to you to be of greater importance than any other pursuit can possibly be? Therefore they do not go to interpreters of laws to learn what they ought to do; and even without asking, they are in no ignorance respecting the laws, so as to be likely, through following their own inclinations, to do wrong; but if you violate or alter any one of the laws, or if you ask any one of them about their national laws or customs, they can all tell you at once, without any difficulty; and the husband appears to be a master, endowed with sufficient authority to explain these laws to his wife, a father to teach them to his children...
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: CS1 maint: archived copy as title (link) Accessed 14 Feb 2013.Supernatural marriages exist only between baptized people, so marriages between two Jews or two Muslims are only natural marriages. Assuming no impediments, marriages between Jews or Muslims would be valid natural marriages. Marriages between two Protestants or two Eastern Orthodox also would be valid, presuming no impediments, but these would be supernatural (sacramental) marriages and thus indissoluble.
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: CS1 maint: archived copy as title (link) Accessed 14 Feb 2013.