Conclusion on Lose emails - It depends on the email provider what type of option they provide. if the inactivity of an email address occurs on a particular account. They will delete emails and as well as you may lose email account too.

I have to travel to other city where i couldn’t be able to log on to my email account, It is possible that i will lose my email account because i have heard some where if we didn’t sign in to our email account for a while then some email provider delete emails and after some time they will delete the specific email address too.

Lose emails

I am not clearly sure whether they delete your emails or not because for a particular email address.
Inactivity of 30 to 45 days is ok  but if the limit exceeds more than these days then the inactivity take place on the email provider side
and they think that the particular owner of the email address no longer want to use the services provided by them.

Deletion of emails and email address depends on the three major issues and they are.

• Inactivity of email account.
• given web mail space quota is full on email account
• Delivery of spam emails

If you are unable to log in to your email account for some days say less then 60
days to 90 days then the email provider disable and close your email account
temporary, and when you try  to log in or sign in between these days they ask you to validate your email address. When you done with the validation they will reopen the specific email account. But the problem is that most of the email provider like yahoo mail, windows live hotmail give you 9 to 180 days and if the incavity limit of email account is more than this then they delete the particular email accounts emails first and after that they delete the email account too.

Your email account’s emails can be deleted if the quota given to you on your email account has been full
and email provider are not able to save your incoming emails.

Normally ,Free email provider gives you the more space but there are certain problems too
like spam email. if you are having lots of emails with attachments then it is possible to get your given quota full very soon in free email providers
and then you will not be able to receive incoming emails.

paid email providers give you small amount of quota to save your emails so it is possible on paid email provider that they will not be able to save your emails if the limit of saving emails exceed the given quota.

If you are getting lots of spam emails on your email address then it is possible that email provider delete or block some of the emails of your email account.

Those are some of the possibilities with which email provider can delete the emails of email account and you will lose them permanently.