In AmE, we would take out a personal ad or join a matching service. Most of us would go to a bar and hope to get lucky.
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For example, if someone wants to get married but can't find the right one among the people he knows , he will probably write on a newspaper a match-making advertisement or announcement ? Which word is proper here?
For the lonely hearts -- you take out a personals ad.
I agree. A personal ad. Not a "matchmaking" ad.
These days, you join Match.Com or JDate or Christian Mingle or eHarmony or...
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.