it is not possible to havea combination ofthewith a nominal constituent if this constituent was not already builtup from lexical material by Merge
Probably, it would be helpful to know why one would like to analyse fragments of phrases. Fragments are not utterances, they don't have a truth value, they only appear as parts of bigger phrases and their grammaticality can not be judged. Furthermore fragments are highly ambiguous. "und auf die" e.g. could be a part of "Er wartet auf Maria ["und auf die" Kinder"], or "Er trinkt wieder ["und auf die" Kinder hat er wieder nicht aufgepasst]." In these 2 structures, what is coordinated are completely different things (PPs or CPs). It is the complete structure which reveals the function and the combinatorial potential of its parts.