Although there were reportedly talks of not having the iconic TV couple get together in the finale.
“We thought, ‘No, if we’re going to do it, let’s do it.’
It’s the nature of our show.

It’s not a show about grays.
The series finale showed Rachel prepared to move to Paris for a career opportunity.
Finally, it’s revealed that Rachel did get off the plane and the two share a kiss.

Jennifer Aniston and David Schwimmer agreed on what Ross and Rachel would be up to.
“Let’s say we get married,” Aniston said of the TV couple (viaEntertainment Weekly).
Ross believed they were and slept with another woman, breaking Rachel’s heart.

However, they could never make it work.
In Season 5 they drunkenly got married in Vegas.