You're no longer speaking with adolescents, your daughters are grown adults with their own philosophies.
I haven't had an argument with either of my kids in many years. Once they moved out I stopped trying to influence them, I may offer an opinion but accept they won't agree. I also accept I won't agree with all their philosophies or actions.
The second a voice gets raised stop talking, say it's not something to argue about, then move on to something else.
Even when my kids were young and still at home i encouraged them to express their opinions even if different from mine, and to question why/how i formed my opinions. Much as my Dad did with me, i taught them to have civil discussions of differences of opinions. And the importance of asking relevant questions and actually listening to the answers. Now they're all grown. my GenX guys live in other states and my daughter lives with me.
While i defer to my son in disciplining his now teen son when they visit, there is also a certain level of Grandma's house, her rules. One of the few things i'll interfere with is Grandson disrespecting his father in my presence. Autism or no, he is articulate enough and smart enough to understand we are all accountable for our words/deeds. He sometimes forgets between their yearly visits (in part because his Mom tends to use his autism as an excuse to make little effort to discipline---tho she will yell at him when she hits her limit of patience. (And that is too much like my Mom for me---her response depending on mood not child's behavior.)
They each had one year (age 13 which meant a double dose of it with the twins, tho their single born sister was worse than both put together when she hit that age) when they were particularly obnoxious, argumentative rather than able to 'discuss' things. After that 'arguments' were rare. Discussions more common and still are.
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Whenever this topic of 'how awful kids today are' comes up, as it has since throughout my whole life in various settings, i have ask folks--'And who raised them?' . Of course some people will insist their kids are fine---everyone's else's are the problem. (Often those young'uns are the ones i have some issues with tho.) Kids learn things like basic manners, courtesy and civil discussions best by example---by their parents modeling those things with other adults and with them and other younger people. How adults in general treat them matters too.
When my kids were young they often held doors for older adults at stores---care to guess how many thanked them, even gave a nod of acknowledgement to them? (1 in 25 at most, maybe) not to mention the number of people who would cut in front of them on lines at say deli counter. (They liked to help me shop, i was also teaching them to comparison shop by age 10) but it had to be prepackaged stuff because of how adults treated them at deli counter. So i don't want to hear how 'awful the young folks are'.
What's interesting is i rarely have unpleasant encounters with young folks, even counter culture types. But then i treat everyone with basic 'fellow human' respect/courtesy until/unless they behave badly.