LOS ANGELES — Lindsay Lohan rejected a judge’s offer to end a felony grand theft case early on Wednesday, signaling the actress intends to fight a case filed over a necklace she has been accused of stealing from a upscale jewelry store.

Los Angeles Superior Court Judge Keith Schwartz never publicly detailed the terms of his offer to Lohan, but said if she pleaded no contest or guilty in the case, he would sentence her to jail. Prosecutors are also seeking jail time for the “Mean Girls” star, who was on probation for a 2007 drunken driving case when a store in Venice told police that Lohan had taken a necklace without permission in January.

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