Final answer:
The option not shared by both humans and nonhuman primates in kinship behaviors is c) Develop complex symbolic language. Nonhuman primates can communicate using simple signals when taught by humans, but they do not naturally develop a complex language system as humans do.
Step-by-step explanation:
The option that is NOT something that both humans and nonhuman primates do with kinship is c) Develop complex symbolic language. While humans have developed complex languages with syntax and grammar, nonhuman primates do not naturally develop such systems. They may learn simple symbolic communication when taught by humans, but this is not indicative of a natural linguistic system akin to human language.
Nonhuman primates like chimpanzees, gorillas, bonobos, and orangutans have been taught to use gestures or tokens to communicate, hinting at a capacity for some form of protolanguage. However, this is a result of human teaching and is not found in these species in the wild. Additionally, while these primates may exhibit social bonds, cooperative child-rearing, and emotional attachments similar to humans, the development and use of complex symbolic language is a distinct feature of human kinship.