Is it hard to forgive and forget?

It can be ... Especially the forgetting part.  But forgiving is the most freeing gift you can give to yourself, even if the other party isn't grateful for it.

It can be ! Depends on where your heart is. It makes life a lot easier if you can forgive and forget. Some things just can't be forgiven but most all can. The choice is yours to make.

Depends upon the infraction and the pattern of behavior.

A large enough infraction against you, will most likely never be forgotten (barring an unforeseen head trauma you experience), and "forgiveness", in this instance, will be more like a willingness to make piece with how it affected you personally. In other words - You may be likely to not let the infraction keep you bitter (which is healthier for you), but you may never fully trust the person who did it to you again.

Reoccurring infractions need not be forgiven or forgotten . . . You either accept that this "pattern of behavior" is who this person is (governed by the impulsive nature of their brain), or you no longer associate with this person.

It all depends on what it is you are forgiving. Small things, sure. Big things.... I may forgive, but I don't generally forget.

If you can separate the past from the future, then it no longer is "present."

At that point you absolutely can forget as a practical matter----at least to the point that you no longer think about it anymore because it has no relation toward your future.

For example, many men---when they were boys---had their feet fly off their bicycle pedals and subsequently land on the top tube of the bicycle. (I literally had to search my memory for something I had "forgotten" because it did not affect my future ("piratical forgetting"--my term) but which I could recall relatively easily to hopefully exemplify my point.)

yes for most people it is.