The band complained that the album was 'nothing more than a ploy by the record company to sell product without having to pay additional production costs'. The manager of Eagles, Irving Azoff, said: 'We decided it was time to put out the first greatest-hits because we had enough hits.' However, according to Don Felder, none of the band members had any say in the decision to release the compilation album. All of these singles except ' Tequila Sunrise' charted in the top 40, with five in the top ten, and ' One of These Nights' and ' Best of My Love' both topping the singles chart. Their Greatest Hits (1971–1975) comprises nine singles released between 19, plus the album track ' Desperado'. In 2017, it was selected for preservation in the National Recording Registry by the Library of Congress as being 'culturally, historically, or artistically significant'.

In August 2018, it regained the title of the best-selling album in the U.S. for some years until it was surpassed by Michael Jackson's Thriller after the artist's death in 2009. Their Greatest Hits (1971–1975) was the best-selling album of the 20th century in the United States, and it stayed the best-selling album in the U.S. It was ranked number four on the Billboard year-end album chart of 1976 and has spent a total of 239 weeks on the Billboard 200 as of August 2018. The album has the distinction of being the first album to receive the RIAA Platinum certification, which was introduced in 1976 to recognize albums that shipped one million copies in the United States. ' One of These Nights' and ' Best of My Love' both topped the Billboard Hot 100. Their Greatest Hits (1971–1975) reached number one on the US Billboard 200, where it stayed for five weeks. The album contains a selection of songs from the Eagles' first four albums released in the period from the Eagles' formation in 1971 up to 1975. Their Greatest Hits (1971–1975) is the first compilation album by the American rock band the Eagles, released on Februby Asylum Records.

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