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By the will of his father (1680), Albrecht only received an income from his older brother's lands. Without lands of his own, he spend most of his time with his wife's relatives in Wertheim and converted to the Catholicism.
As a member of the Fruitbearing Society, he received the surname der Muntere.
In Wertheim on 22 June 1687, Albrecht married Christine Therese of Löwenstein-Wertheim-Rochefort. They had two daughters:
- Anna Christine (b. Wertheim, 17 July 1690 - d. Vienna, 5 March 1763).
- Maria Auguste (b. Wertheim, 4 February 1692 - d. Wertheim, 15 February 1692).