It means each of the girls has a heart, a set of arms, a set of lungs and a stomach.
However, they share some ribs, a liver, their circulatory system, and their digestive and reproductive systems.
One might wonder how the girls go to the bathroom or deal with the menstrual cycle.
With conjoined twins, the bladder and uterus still function regularly, but one girl has control of one or both of the organs - although it is unclear in this case which girl.
When Lupita and Carmen were young, they spent years in physical therapy learning how to sit up and work together to use their legs.
When they were four years old, they took their first steps together.
However, Lupita is suffering from scoliosis (a sideways curvature of the spine), which is cramping her lungs.
Doctors say she could need surgery to remove a segment of her spine, or alternatively start using an oxygen tank.
While scoliosis surgery can be a relatively straight-forward procedure, that's not the case in conjoined twins.
There is a high risk of death or brain damage for Lupita.
When Lupita and Carmen were young, doctors considered separating them, but concluded it couldn't be done safely because they shared too many vital organs and their lower spine.
Despite this, they're believed to have every chance of enjoying old age.
So the twins have had to learn to live their lives in tandem - learning how to coordinate and balance, supporting two upper bodies on just one pair of legs.
Carmen told The Hartford Courant: "If somebody asks us, like, if we're twins, either I or mostly Lupita would just respond -"
"- no, we're really close cousins," Lupita finished.
The girls have very different personalities. Carmen excels in school and has a quick wit.
Lupita is quieter and struggles with reading, taking modified tests in school.
Carmen also loves wearing make-up and applies eyeliner and mascara, while Lupita can't be bothered.
"A lot of people don't notice, like, because when they first meet us, we kind of have the same reactions," said Carmen.
"But our friends, once they get to know us, our friends literally tell us, 'You guys are so completely different', and I'm like, 'Well, yeah. We're two different people'."
And the twins do act like any other teenagers, talking about midterms and the SATs, getting their learner's permit, and practicing piano.
It hasn't been easy playing the instrument but, essentially, Carmen learns the right-hand parts and the left-hand parts for Lupita and the consistently practice so they coordinate playing together.
However, there are fears when it comes to the girls' health.
Lupita's lungs are functioning at only 40 percent capacity.
When she has trouble breathing, Carmen has to breathe harder to compensate.
Dr Mark Lee, a surgeon at Connecticut Children's Medical Center, told the girls and their mother that Lupita's curve is "very, very severe," and that, typically, a segment of the spine would be removed to correct the malformation.
But nothing about Lupita and Carmen's situation is typical.
There is not a great deal of experience operating on conjoined twins because there are so few of them.
About one in 200,000 live births are conjoined and most are stillborn or die shortly after birth.
In Veracruz, Mexico, where the girls were born before they immigrated to Connecticut at age two on a medical visa, Norma learned she was carrying twins when she was 13 weeks pregnant.
One month later, the doctor revealed they were conjoined and, when the girls were born in June 2000, they were expected to live for only three days.
But they continued to thrive. Doctors both in Mexico and the US told Norma and Victor that the girls couldn't be separated because of how many organs they shared.
As for the scoliosis surgery, Dr Lee has told them that the worst case scenario is Lupita dying or, short of dying, losing her neurologic function.
Dr Lee said he expects Lupita's scoliosis to continue to worsen and affect her lungs.
"You know you are looking at essentially maybe needing oxygen going forward and sometimes it can also shorten your lifespan," Dr Lee told them.
When asked if they ever want to be separated, both say no because - even if the surgery went well - they would have just one leg each and years of physical therapy ahead of them.
"And then there's the whole psychological situation because we've been so used to, like, being together," Carmen said.
"I don't think there'd be, like, a point."
And for the surgery that might make it easier for Lupita to breathe.
"There's a lot more risk to it then it actually being beneficial so we..." Carmen begins.