engage and conversate vs conversate and engage

Some examples from the web:

• You are authorised to engage and destroy.
• We must continue to engage and harass the enemy.
• It has failed to actively engage and connect with the citizens.
• In the end, we have to re-engage and find solutions together.
• We need to engage and create the participatory functioning of the EU institutions.
• Once we reach 20,000 feet, that bomb will engage and you'll have 20 minutes.
• Before the enemy can strike the terraformer, we must engage and destroy their primitive aerial attack force.
• I witnessed him at class he could engage and inspire his students in ways that I'd never seen before.
• I submit that we engage and delay until reinforcements arrive.
• Dear Sir or Madam: Soon your son will drop from the sky to engage and defeat the enemy.
• We guessed that film, whose stories are a meeting place of drama, music, literature and human experience, would engage and inspire the young people participating in FILMCLUB.
• It's a profound moral matter that engages and should engage us all.
• We need to engage and find ways of offering guidance to these young people, because they are a remarkable breed.
• I welcome you on board for us to engage and discuss new ideas of how to bring people together through cultural initiatives and discussions.
• As a result, and as signalled in the Environment Council Conclusions, other major emitters also have to engage and take their share of emissions reductions.
• I witnessed him at class he could engage and inspire his students in ways that I'd never seen before.
• It is time to engage and to help entrepreneurs in developing countries rather than to over-politicise the issue.
• He is an example to other Ministers for European Affairs who come to this Parliament as regards how best to engage and obtain Parliament's support.
• This, clearly, is the debate in which we in Parliament shall engage and on which we shall work.
• When you do that, you engage and inspire the other musicians and they give you more, and gradually it builds.

Some examples from the web:

• Plender leave school and engages in the Legion.
• Make revolutions for 20 knots and engage the propellers.
• Decloak the holoship and engage a tractor beam.
• You can go ahead and try and engage him.
• Set a course for the target coordinates and engage at full impulse.
• Seek out and engage the enemy.
• It must grow, reform itself and engage in deeper cooperation.
• And, of course, we'd like to inspire and engage the next generation.
• Suddenly you're old enough to vote, drink and engage in other adult activities.
• Requesting authorization to arm and engage.
• 17,000 pages of unique code, which forms my root directory and engages consciousness.
• Don't dry and engage in a dialogue about this case.
• I need you to pick up that phone and engage Armageddon Protocol.
• Give me a fire-control solution and engage.
• I'll go over and engage the mom in conversation.
• I therefore think we must take Parliament's decisions seriously and engage in cooperation, not least with regard to milk.
• We must involve non-governmental organisations that can provide concrete feedback, and engage in social dialogue with them.
• You cannot boycott and engage at the same time.
• But we should also reward and engage more with Chisinau.
• I hope they will come and engage in a discussion with us.