"Une histoire d'amour"
In French, you can say "une liaison amoureuse" to refer to a love affair.
an affair is 'une affaire' (fem.) in French. The word 'affaire' can work as a synonim to business, or to a love affair.
Liaison
affaire privée
You say "j'aime le français" to say "I love French" in French.
love in french is "amour".
To say "I love him/her" in French, you say: "Je l'aime"
You can say "Je l'aime" to say "I love him" or "I love her" in French.
to love is translated 'aimer' in French
in love in French is "amoureux de".
I love it is "j'aime / j'aime ça" in French.
"and her love" is ".. et son amour" in French.
aimer as a verb, amour as a noun are the French words for Love