[1] A downturn in traffic following the 1973 oil crisis led Molslinjen into a pooling agreement with rival Grenaa-Hundested Linien in 1979.

[2] In 1984 DFDS sold Molslinjen and Grenaa-Hundested Linien to J. Lauritzen A/S.

In 2018, the ferry routes of Alslinjen, Langelandslinjen, Samsølinjen and Fanølinjen became part of Molslinjen with the acquisition of Danske Færger.

[4][5] In January 2023, the Danish and Swedish competition regulators approved the sale of ForSea Ferries to Molslinjen for an undisclosed sum.

[6] Molslinjen Bornholms-linjen Langelandslinjen Fanølinjen Samsølinjen Alslinjen Øresundslinjen Former Ships Molslinjen operates various routes around Denmark and surrounding countries, under a multitude of brand names.