Another way to say ' request the pleasure of the company of'?

How about

"whoever the invite is from" would be delighted if "guest name" could join them for the (or "us" and "our" if invite from bride and groom) wedding of B & G ....

We are sending the invitations from ourselves.

Xxx and xxx would be delighted if ......NAME...... could join us in the celebration of our marriage. - Does that sound right?

We wrote:

Along with their families, Footlong and Boy would like..........to share the love.

That might be too informal for you though.

"Warlycarly and boy would like...........to join them to celebrate their marriage"

Edit: ha ha, you got there before me!

COULD join us or WOULD join us? which sounds better?

Would. You are asking "Will you?" not "Can you?".

Yeah, thats what I thought. Thank you both for your help. I might be back though, lol. So watch this space.