Can one hydrocarbon molecule have both an alkyne group and a benzene ring?

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Yes, a single hydrocarbon molecule can contain both an alkyne group and a benzene ring.

While hydrocarbons are traditionally classified into groups such as alkynes (which contain a carbon-carbon triple bond) and arenes (which contain a benzene ring), these classifications are not mutually exclusive. It is common for a single molecule to incorporate structural units characteristic of multiple hydrocarbon families.12

Such a molecule would exhibit properties associated with both alkynes and arenes, as the structural features of each group are present within the same chemical framework.1