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Star Jones Reynolds is hitting back against rumors that her marriage to Al Reynolds is on the rocks – and threatening legal action against those responsible for spreading them.

"These categorically false stories and their continuation are clearly being generated by someone for vindictive reasons alone," the former View cohost says in a statement through her rep. "(Star Jones and Al Reynolds') legal representatives have been investigating the source and motivation of these boldfaced lies for some time now and are very close to exposing the individual who has perpetrated them. At which time, appropriate legal action will be taken."

A story in Wednesday's New York Post reported that Jones has been telling friends she's "heartbroken" because her marriage is falling apart. The paper quoted an unnamed source as saying, "Star has resigned herself to the fact that they're not going to spend the rest of their lives together."

However, her rep tells PEOPLE that there is no truth to the divorce rumors.

Jones, 44, and Reynolds, 36 married in 2004 in an elaborate ceremony in which the TV star arrived at the in a wedding white-horse-drawn carriage.

"Every single wedding fantasy I ever had was fulfilled, down to the most handsome groom in the history of the world," Jones told PEOPLE at the time.