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In the church of Rome there was no contradiction between being both a member of the church and being titled. In fact, some entire states were ruled by priests. For example, the Archbishopric of Salzburg was an independent principality for centuries right in the middle of Europe which was ruled by an archbishop who was inevitably from some noble family. The ruler of state was called a prince-bishop. A typical example was Conrad I of Salzburg.
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At some points in some areas it was common for the second son to join the Church
The first would inherit the father's land, possessions, title etc. in full, to avoid the problem created by consecutive division the father's possession (especially with land).
Sending the second son to the Church would give the family some standing in the Catholic Church, which could be useful to gain some political/religious advantages and facilitate the 'lobbying' of high-ranking Church members
The 'rank' and speed with which he could expect to climb the ladder in the clergy could be influenced by the family's standing.
Source:
(Actually memories from my high-school History class but this page is all I could find in a 2sec search) Lords and Ladies - Mediaval Monestary