Miley Cyrus pulls on her shorts for a run before hitting local thrift stores as she joins Liam Hemsworth in Georgia

By Dailymail.com Reporter

Published: 15:55 EST, 7 November 2017 | Updated: 18:29 EST, 7 November 2017

 Her boyfriend - and rumored husband - is hard at work on a filmset in Georgia.

And rather than be parted from her love, Miley Cyrus is spending her days exploring the town of Savannah - where Liam Hemsworth is temporarily based.

The singer was seen keeping herself busy on Tuesday, after visiting Liam on the filmset where he is filming Killerman.

Miley Cyrus pulls on her shorts for a run before hitting local thrift stores as she joins Liam Hemsworth in Georgia

Miley Cyrus pulls on her shorts for a run before hitting local thrift stores as she joins Liam Hemsworth in Georgia

First the 24-year-old pulled on some athletic shorts and a T-shirt as she hit the streets for a jog.

Next the star - always an eclectic dresser  - visited the local thrift stores on the hunt for some one-of-a-kind pieces.

A source at the scene said: 'Miley bought some Elvis memorabilia and snapped a few pics with some fans during the outing.'

Miley, herself the goddaughter of Dolly Parton, has long cited Elvis as her 'biggest inspiration'. 

The 24-year-old pulled on some athletic shorts and a T-shirt as she hit the streets for a jog

The 24-year-old pulled on some athletic shorts and a T-shirt as she hit the streets for a jog

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Meanwhile the former child star's relationship with Liam has been going from strength to strength since they reunited last January following a two-year split.

The couple - who met on the set of The Last Song in 2009 - were even recently reported to have secretly married way back in April, however they have yet to confirm or deny the story.

An insider was alleged to have told NW magazine from Liam's native Australia that the 27-year-old wed 24-year-old Miley 'six months ago, way back in late April.'

Stocking up: The star - always an eclectic dresser visited the local thrift stores on the hunt for some one-of-a-kind pieces

Stocking up: The star - always an eclectic dresser visited the local thrift stores on the hunt for some one-of-a-kind pieces

Whatever their marital status, it seems clear that the two are determined to prioritize spending time together.

Despite releasing her sixth album, Younger Now, in September, Miley has said she will be not be going on tour to promote the record.   

Speaking at her album launch party at Tootsie's Orchid Lounge in Nashville, she said: 'I would love to go on tour, but right now I am back in Nashville. I've just really been enjoying being home and being with my animals. I want to be in Nashville.' 

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