The phrase "without forgetting to" is correct and usable in written English.
It is typically used to indicate that someone should do something without neglecting or overlooking it. Example: "Please complete your homework tonight without forgetting to study for the quiz tomorrow."
Ms. Massi's songs looked outward without forgetting to look back.
Relaxed and euphonic, sometimes oozingly slow, it's inventive without forgetting to gain your trust.
It's crucial that households are made aware of these financial incentives without forgetting to sell them the benefits: warmer, healthier homes that are cheaper to run".
Talib Kweli is an ambitious rapper who packs everything into his rhymes from politics to romance to anti-gangsta admonitions, all without forgetting to boast.
Edie manages to accompany him on the plane from California (though not without forgetting to order his diabetic meal), but she quickly takes off for Maine to stay with old family friends.
Now, fast forward five years to this week, without forgetting to note Facebook's $19 billion acquisition of WhatsApp in 2014….
The plots were deft essays that touched on heavyweight topics such as the division between church and state, or the balance between faith and destiny, without ever forgetting to be anything less than totally entertaining.
Truth to tell, there are few professional Porsche mechanics who haven't lowered an engine out of a 911 without sometime, somewhere forgetting to first disconnect something, whether it's the wire to the backup-light switch on the transmission or the vacuum hose that leads to the brake booster.
Isn't it a pity Now, isn't it a shame How we break each other's hearts And cause each other pain How we take each other's love Without thinking anymore Forgetting to give back Isn't it a pity.
In severe cases though, it may mean being unable to walk up stairs without holding on, or forgetting to take off your clothes before having a shower.
And cause each other pain... How we take each other's love... Without thinking anymore... Forgetting to give back... Isn't it a pity... Some things take so long..
