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The robocalls are targeting Sens. Marco RubioMarco RubioTop Trump officials push border wall as government shutdown looms Rubio defends Trump: 'This whole flip-flop thing is a political thing' Rubio: Shutdown would have 'catastrophic impact' on global affairs MORE (R-Fla.), Ted CruzTed CruzKansas Republican sworn in after special election Overnight Finance: Dems want ObamaCare subsidies for extra military spending | Trade battle: Woe, Canada? | Congress nears deal to help miners | WH preps to release tax plan Cruz: Seize money from drug lords to fund border wall MORE (R-Texas) and Rand PaulRand PaulWe can put America first by preventing public health disasters Conservative activists want action from Trump McConnell: 'Big challenge' to pass ObamaCare repeal in Senate MORE (R-Ky.), all of whom have indicated an interest in running for president in 2016.

They're launching along with a standalone website, GOPPleaseStop.com, where the DNC will aggregate video, tweets and other content from GOP lawmakers who indicate they're open to another shutdown to take down ObamaCare.

Both Rubio and Cruz have signaled an openness to again attempting to dismantle ObamaCare when Congress hits its next deadline to pass a government funding measure, in January.

Paul, however, has previously said he didn't think shutting down the government over the law was a good idea.

The robocall running against Rubio charge that he was "an architect of the strategy that shut down our government and took us to the brink of economic collapse."

"Marco Rubio's shutdown cost our economy $24 billion dollars and his refusal to pay our nation’s bills  risked raising mortgage rates, crashing the stock market and even put Social Security payments at risk," the robocall says.

"And now Rubio is signaling that he’s willing to do it all again in a few months."

It urges listeners to call his office and tell him to "please stop."

All three of the senators opposed the deal that ultimately ended the shutdown, with Cruz citing ObamaCare as primary reason, while Paul said his opposition was due to the fact the deal didn't tackle the deficit. Rubio cited both issues. 

The DNC used their no-votes in a recent fundraising pitch that asked supporters, "Do you think these guys should be president?"