Have you seen my first translation, Lili? It was practically the same. But as the original of this text is in Turkish, I believe the native speaker about the existing differences.
Lilian, "Love is two lonely people merging into a common loneliness." conveys more or less the same meaning with the original but:
1) there is a difference between the verbs "to merge" and "to meet". ..and what is used in the original sentence is the verb "to meet".
2) the predicate of the sentence must be the "...is the meeting.." not "...is the two lonely people.." according to the original phrase again.
3) I used "lonesome" instead of "lonely" since as far as I know "lonesome" somehow connotes a wish for the companionship of someone else, which I thought it would suit the context of this sentence comparing with "lonely". But, I don't know if there is slight diversity between the connotations of "lonliness" and "solitude".