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Joe Jonas and Twilight's Ashley Greene are still growing strong and seem to be getting closer and closer each day.

The sexy couple took a stroll through the streets of Los Angeles after lunch ... with Ashley holding on tight to her man. We don't blame her!

This past weekend, Ms. Greene celebrated her 24th birthday with her sexy JoBro at a Candyland-themed party in Vegas.

Joe gifted his lady with a vintage Chanel bracelet. Yep, he's a keeper!

Find out where the two went to lunch ... after the jump.