Britain's largest auto maker said they will carry out free repairs on the models.
Neil Barlow, head of vehicle engineering at the Driver and Vehicle Standards Agency (DVSA), which administers vehicle recalls, said: "DVSA's priority is to protect everyone from unsafe drivers and vehicles".
Some of the models will need physical repairs in a dealership, while some will need software updates, the spokeswoman said.
The recall covers vehicles with 2.0 litre engines built between 2014 and 2018.
Italian magistrates investigate mysterious death of 'bunga bunga' model
Mr Berlusconi - who has served as prime minister in four governments - is still facing a number of charges, including bribing. Imane Fidal, 34, died of chronic organ failure two weeks ago after checking into hospital with severe stomach pains.
This recall comes after it was reported that the Land Rover Discovery TD6 outperformed a number of other cars in new independent pollution tests, revealing it produced low NOx. The UK is set to roll out their ban from 2040.
In an official statement provided to PH, JLR said: "Jaguar Land Rover is conducting a voluntary recall following the identification of Carbon dioxide performance variability with certain Jaguar and Land Rover vehicles fitted with 2.0-litre diesel or petrol engines".
Speaking with Automotive News Europe, Greg Archer, UK director for the European environmental pressure group, said: "JLR has clearly been minimizing the declared Carbon dioxide and under estimating emissions". However, it did say all of the repairs would be carried out free of charge, and it's aiming to "minimise inconvenience to the customer during the short time required for the work to be carried out". "This includes vehicles that are damaging our environment".
While today's announcement is far from the largest recall the industry has seen in recent years, the cost of carrying out work on 44,000 cars will come as a blow to the brand. JLR posted a record quarterly loss in February and announced about 4,500 job cuts the previous month.
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