Condolences, Sincerity

1. my heart goes out

Thank you for coming to the funeral.

My heart goes out to you and your family for your loss. You're always in my thoughts.

I sympathize with you and your family.

My heart goes out to you and your family.

2. holding up okay

I hope you and your family are holding up okay given the circumstances.

We're doing our best to get through these difficult times.

I hope you and your family are doing well during this difficult time.

I hope you and your family are holding up okay given the circumstances.

3. heartfelt

I would like to express my heartfelt gratitude for supporting me through the project.

Don't mention it. You did all the work.

Thank you very much for supporting me.

I would like to express my heartfelt gratitude.

My condolences once again.