Spoiler alert:
So they would live together, Jaeyoung would grow a ponytail ( you might think that's not important but I find it quite crucial, lmao) then sadly he would get rid of the ponytail because he wants to look good in front of Sangwoo's parents. Then they meet Sangwoo's parents and they will give them their blessings and stuff. Then Sangwoo will propose in an old-fashioned way and they will get engaged and fly together to the USA. In the USA Sangwoo works in a company and Jaeyoung continues his graphic designs as a freelancer ( I'm so dumb in this area so I might be not completely accurate about their professions but you get the idea). There's so much more like their conflicts and ups and downs, Jaeyoung's twin, his grandpa, Sangwoo's coworker having a crush on him, etc. It's so good I suggest you give it a read
There's no official English translation or even a completed fan translation that I know of but there's a Spanish translation. you can translate the pages into English using Google translate. It's not perfect but it's pretty readable, lol. Here's the link:
https://novelasblparasiempre.blogspot.com/p/error-semantico_24.html?m=1
If you want to continue reading after the manhwa ending, you should start from volume 4, chapter 3.1.
The plot and the story built up was very good the art style too loved it but the ending was too rushed and it felt incomplete like at the end even if it was an open ending it didn't give readers a satisfaction or fulfilments after reading it