Are there any resources detailing the rules for cuneiform ligature generation?
Strictly speaking, this question probably isn't appropriate for /r/AskHistorians because it deals with language instead of history. In the future, you should probably post questions like this to /r/Assyriology or PM me or another Assyriologist.
That said, Assyriologists use the plus-sign, +, to indicate ligatures of syllabograms. For example, i+na indicates that the two signs are written together as if they are a single sign. Similarly {d}EN.ZU is sometimes written dingir+EN.ZU, although this form appears as a ligature so often that it is generally understood with the standard notation.
An ex-sign, x, means the second sign is written inside the first. Since gur7 is a very complex sign, I am skeptical that it was written inside the ka, so the writing probably means KA+GUR7. ka.gur7 is a word (see edit below).
I'd need to see the full line to offer a translation, but KA means "mouth" and GUR7 means buru, "harvest."
This may be a mistaken reading for SAG GUR7 "the beginning of the harvest," but if the signs truly appears as written (GUR7+KA < *KAxGUR7) then it may be a condensed writing for "the harvest, summer" with a possessive (adverbial or adjectival) -ak suffix. This can occur, rarely, at the end of a line if the scribe ran out of space. But as I said, I'd need to see the full line to offer anything more than a guess.
Reference:
To my knowledge, no one has studied the use of ligatures in any substantive way. They are not mentioned in either Von Soden or Labat.
EDIT:
According to the ePSD, KAxGUR7 can be read kugur(go to the search book, change the search field to "lexical", and input the ligature as KA*GUR7) but I can't seem to find that word. Un-ligatured KA.GUR7 is listed in the ePSD(look under "Sign-name") as kaguruk, "granary supervisor" and my inclination is to regard kugur as a variant form of kagurk. Are there any contextual clues in whatever text you're looking at that might suggest a plausible reading?