Sorry, but it's not that simple.
As common as these issues are in both breeds, without genetic testing, it is impossible to say whether the parents carry the genes for the traits; "they aren't related, so the babies will be fine" isn't a valid assumption (non-related humans produce babies with genetic diseases every day). When a trait is common in a population, the chances of any particular animal in that population carrying the gene(s) for the trait are much greater, whether or not it expresses the trait.
To make it even more fun, Hip dysplasia is apparently polygenetic, plus the degree to which any particular animal is affected is partly environmental; you can't just watch two dogs run across a field and say, "she has it, but he doesn't, so any puppies they produce won't." I don't know if anyone knows just how many genes are involved or what the distribution of the various alleles is across the affected dog breeds; it may be possible to produce crossbred offspring that are actually much worse than either parent, due to the polygenetic nature of these conditions.
If you deal with enough animals, sooner or later, you will deal with animals that have a problem due to the way they were bred - and that can be heartbreaking and expensive. IMO, any person who chooses to breed should be choosy about what they breed, with a minimum goal of producing healthy, sound animals. At the moment, getting hips and elbows checked in prospective breeding animals is the most basic level of dealing with this very common issue in large dog breeds. It doesn't eliminate the possibility of producing puppies that will develop hip dysplasia, but it's a step in the right direction. Unfortunately, there don't seem to be any reliable genetic tests yet; probably because there are so many genes to test for.
