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A committed relationship is an interpersonal relationship based upon agreed-upon commitment to one another involving love, trust, honesty, openness, or some other behavior. Forms of committed relationships include close friendship, long-term relationships, engagement, marriage, and civil unions.

Non-romantic and/or non-sexual committed relationships

Family: a group of people related by consanguinity or affinity
Friendship: certain kinds of friendships are committed, such as best friends forever, bromance, blood brother, and womance

Marriage: a legal, religious, and social binding between people.^[1]
Monogamy: having a single long-term romantic and sexual partner
- Ménage à trois: having a domestic arrangement with three people sharing romantic or sexual relations; typically a traditional marriage along with another committed individual, usually a woman^[2]
Polyamory: encompasses a wide range of relationships; polyamorous relationships may include both committed and casual relationships.
Group marriage: marital arrangement where three or more adults enter into marriage
Sexual fidelity: not having other sexual partners other than one's committed partner, even temporarily

^ Haviland, William A.; Prins, Harald E.L.; McBride, Bunny; Walrath, Dana (2011). Cultural Anthropology: The Human Challenge (13th ed.). Cengage Learning. ISBN 978-0495811787.
^ Debruge, Peter (October 13, 2017). "Film Review: 'Professor Marston and the Wonder Women'". Yahoo. Retrieved March 9, 2022.