Formal pairs suit Writing Task 2. Neutral ones work anywhere. Informal ones belong in Speaking.
1.technological advances
formalnew developments in technology
Recent technological advances have made it possible to work from almost anywhere.
Advances in technology is the same idea in a different order.
2.cutting-edge technology
neutralthe newest and most advanced technology
Hospitals with cutting-edge technology can diagnose cancer much earlier.
State-of-the-art is a similar phrase.
3.rely heavily on
formaldepend a great deal on something
Modern economies rely heavily on the internet for trade and communication.
Heavily is the natural adverb with rely and depend.
4.screen time
neutralthe time a person spends looking at a phone, computer or TV
Parents should set limits on children's screen time.
Limit, reduce and cut down on collocate with it.
5.digital literacy
formalthe ability to use digital technology and judge online information
Schools should teach digital literacy so that pupils can spot false information online.
Good in Task 2 essays on education and technology.
6.have access to the internet
neutralbe able to use the internet
Around a third of the world's population still does not have access to the internet.
As a verb, access takes no preposition: access the internet.
Avoid: they access to the internet → have access to the internet
7.the digital divide
formalthe gap between people who have technology and those who do not
Free broadband in rural areas would help to narrow the digital divide.
Narrow, bridge and widen collocate with it.
8.invade people's privacy
neutralintrude into people's personal lives or information
Some apps invade people's privacy by collecting data they do not need.
The noun phrase is an invasion of privacy.
9.a data breach
neutralan incident in which private information is stolen or exposed
A data breach at a bank can expose millions of customers to fraud.
Suffer and report collocate with breach.
10.render something obsolete
formalmake something no longer useful because something newer exists
Streaming services have rendered DVDs obsolete.
Become obsolete is the intransitive version.
11.automate tasks
formalmake a machine or program do work that people used to do
Companies automate tasks such as data entry to cut costs.
Automation is the noun.
12.keep up with the latest technology
neutralstay informed about and use new technology
Older people often find it hard to keep up with the latest technology.
Natural in Speaking and fine in Writing.
13.information overload
neutralhaving so much information that it is hard to think clearly
Constant notifications lead to information overload and poor concentration.
Suffer from and lead to collocate with it.
14.a double-edged sword
neutralsomething that has both good and bad effects
Social media is a double-edged sword: it connects people but also spreads rumours.
Use once at most in an essay; it is a fixed phrase, so overuse looks memorised.
15.user-friendly
neutraleasy to use or understand
Government websites should be user-friendly so that older people can use them.
Use before a noun (a user-friendly app) or after be.
16.tech-savvy
informalgood at using modern technology
My grandmother is surprisingly tech-savvy; she video-calls us every week.
A natural Speaking word. In Writing, use digitally skilled.