The difference between Carry on and Conduct

When used as verbs, carry on means to continue or proceed as before, whereas conduct means to lead, or guide.

Conduct is also noun with the meaning: the act or method of controlling or directing.

check bellow for the other definitions of Carry on and Conduct

Carry on as a verb (idiomatic):

To continue or proceed as before.

Examples:

"I'll be gone for a few days, but I hope you will carry on in my absence."
Carry on as a verb:

To take baggage or luggage onto an airplane, rather than check it.

Examples:

"You may only carry on items that are smaller than a certain size."
Carry on as a verb (idiomatic):

To have or maintain.

Examples:

"It is difficult to carry on a conversation with so many distractions."

"to carry on commerce in a market"
Carry on as a verb (idiomatic):

To act or behave; especially to misbehave so as to attract attention.

Examples:

"I really wish you wouldn't carry on like that in public!"
Carry on as a verb (idiomatic):

To have an illicit sexual relationship.

Examples:

"I thought he was my friend, but all the time he was carrying on with my wife!"

Conduct as a noun:

The act or method of controlling or directing
Conduct as a noun:

Skillful guidance or management; generalship.
Conduct as a noun:

The manner of guiding or carrying oneself; personal deportment; mode of action; behavior.

Examples:

"Good conduct will be rewarded and likewise poor conduct will be punished."
Conduct as a noun (of a literary work):

Plot; action; construction; manner of development.
Conduct as a noun (obsolete):

Convoy; escort; guard; guide.
Conduct as a noun:

That which carries or conveys anything; a channel; a conduit; an instrument.

Conduct as a verb (archaic, transitive):

To lead, or guide; to escort.
Conduct as a verb (transitive):

To lead; to direct; to manage

Examples:

"The commander conducted thousands of troops."

"to conduct the affairs of a kingdom"
Conduct as a verb (transitive):

(reflexively to conduct oneself) To behave.

Examples:

"He conducted himself well."
Conduct as a verb (transitive):

To serve as a medium for conveying; to transmit (heat, light, electricity, etc.)
Conduct as a verb (transitive, music):

To direct, as the leader in the performance of a musical composition.
Conduct as a verb (intransitive):

To act as a conductor (as of heat, electricity, etc.); to carry.
Conduct as a verb (transitive):

To carry out (something organized)