Can I extend my 45-day visa exemption by first extending for 30 days before applying for the 60-day family extension?

A user is inquiring about the process of extending their 45-day visa exemption by initially securing a 30-day extension, followed by a 60-day family extension. Responses confirm that this process is indeed possible, with a suggestion that the immigration office might require the 30-day extension to be processed before applying for the family extension.